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Solve for
x.

(8)/(3)-(x+8)/(3x)=3
Answer:
x=

Solve for $x$ . $\newline$ $\frac{8}{3}-\frac{x+8}{3 x}=3$ $\newline$ Answer: $x=$

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Solve equations with the distributive property

Full solution

Q. Solve for

x

.

\newline

\frac{8}{3}-\frac{x+8}{3 x}=3

\newline

Answer:

x=

Combine fractions: Combine the fractions on the left side of the equation by finding a common denominator. $\newline$ The common denominator for the fractions $(\frac{8}{3})$ and $(\frac{x+8}{3x})$ is $3x$ . $\newline$ $(\frac{8 \times x}{3 \times x}) - (\frac{x + 8}{3x}) = 3$
Simplify left side: Simplify the left side of the equation. $\newline$ Combine the numerators over the common denominator. $\newline$ $(8x - (x + 8))/(3x) = 3$
Distribute negative sign: Distribute the negative sign in the numerator. $\newline$ $(8x - x - 8)/(3x) = 3$
Combine like terms: Combine like terms in the numerator. $\newline$ $(7x - 8)/(3x) = 3$
Multiply both sides: Multiply both sides of the equation by $3x$ to eliminate the fraction. $\newline$ $\frac{7x - 8}{3x} \times 3x = 3 \times 3x$
Isolate variable term: Simplify both sides of the equation. $\newline$ $7x - 8 = 9x$
Divide by $2$ : Subtract $7x$ from both sides to isolate the variable term on one side. $\newline$ $7x - 7x - 8 = 9x - 7x$
Find value of x: Simplify both sides of the equation. $\newline$ $-8 = 2x$
Find value of x: Simplify both sides of the equation. $\newline$ $-8 = 2x$ Divide both sides by $2$ to solve for x. $\newline$ $-8 / 2 = 2x / 2$
Find value of x: Simplify both sides of the equation. $\newline$ $-8 = 2x$ Divide both sides by $2$ to solve for x. $\newline$ $-8 / 2 = 2x / 2$ Simplify both sides of the equation to find the value of x. $\newline$ $x = -4$

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