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Solve the following equation for
x. Express your answer in the simplest form.

-5(-7x+7)=-18 x+24

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $-5(-7 x+7)=-18 x+24$ $\newline$

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Solve absolute value inequalities

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

-5(-7 x+7)=-18 x+24

\newline

Distribute and Simplify: First, distribute the $-5$ across the terms inside the parentheses. $\newline$ -5 \times (-7x) + -5 \times 7 = -18x + 24\(\newline35x - 35 = -18x + 24\)
Combine Like Terms: Next, add $18x$ to both sides of the equation to get all the $x$ terms on one side. $\newline$ $35x - 35 + 18x = -18x + 24 + 18x$ $\newline$ $35x + 18x - 35 = 24$ $\newline$ $53x - 35 = 24$
Isolate X Term: Now, add $35$ to both sides of the equation to isolate the term with $x$ . $\newline$ $53x - 35 + 35 = 24 + 35$ $\newline$ $53x = 59$
Solve for X: Finally, divide both sides by $53$ to solve for $x$ . $\newline$ $\frac{53x}{53} = \frac{59}{53}$ $\newline$ $x = \frac{59}{53}$

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