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Solve for all values of
x in simplest form.

8+5|3x-3|=18
Answer:
x=

Solve for all values of $x$ in simplest form. $\newline$ $8+5|3 x-3|=18$ $\newline$ Answer: $x=$

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Integer inequalities with absolute values

Full solution

Q. Solve for all values of

x

in simplest form.

\newline

8+5|3 x-3|=18

\newline

Answer:

x=

Isolate absolute value expression: First, we need to isolate the absolute value expression on one side of the equation. $\newline$ We start by subtracting $8$ from both sides of the equation to get: $\newline$ $5|3x - 3| = 18 - 8$
Simplify right side: Now we simplify the right side of the equation: $5|3x - 3| = 10$
Divide by $5$ : Next, we divide both sides of the equation by $5$ to solve for the absolute value expression: $\newline$ $|3x - 3| = \frac{10}{5}$
Split into two equations: Simplifying the right side of the equation gives us: $|3x - 3| = 2$
Solve first equation: The absolute value equation $|3x - 3| = 2$ can split into two separate equations: $\newline$ $3x - 3 = 2$ or $3x - 3 = -2$
Solve second equation: We solve the first equation for $x$ : $3x - 3 = 2$ Add $3$ to both sides: $3x = 2 + 3$ $3x = 5$ Divide both sides by $3$ : $x = \frac{5}{3}$
Solve second equation: We solve the first equation for x: $\newline$ $3x - 3 = 2$ $\newline$ Add $3$ to both sides: $\newline$ $3x = 2 + 3$ $\newline$ $3x = 5$ $\newline$ Divide both sides by $3$ : $\newline$ $x = \frac{5}{3}$ Now we solve the second equation for x: $\newline$ $3x - 3 = -2$ $\newline$ Add $3$ to both sides: $\newline$ $3x = -2 + 3$ $\newline$ $3x = 1$ $\newline$ Divide both sides by $3$ : $\newline$ $x = \frac{1}{3}$

More problems from Integer inequalities with absolute values

Question

g

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f(x)=|x|

\newline

What is the equation for

g(x)

\newline

1

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g(x)=-\frac{4}{3}|x|

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g(x)=\frac{4}{3}|x|

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g(x)=-\frac{3}{4}|x|

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g(x)=\frac{3}{4}|x|

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Question

y=|x|

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What is the equation of the new graph?

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y=-\frac{5}{3}|x|

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y=\frac{3}{5}|x|

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y=-|x-5|+3

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Question

\$ 200

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40 h+80 t=400

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80 h+40 t=200

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5 h+2.5 t=200

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Question

We want to find the intersection points of the graphs given by the following system of equations:

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\left\{\begin{array}{l} x-y=-4 \\ y=5(x+1)^{2}-3 \end{array}\right.

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\mathbf{2 2}

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Question

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Question

Abby is buying a rectangular widescreen TV that she will hang on the wall between two windows such that the longer side of the TV is horizontal. The windows are

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Question

Ari thinks the perfect milkshake has

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What will Ari think about the amount of caramel in Freeze Zone's milkshakes?

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(A) Freeze Zone's milkshakes have too much caramel.

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(B) Freeze Zone's milkshakes have too little caramel.

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(A) Lashawn's eggs

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(B) Gilberta's eggs

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