Solve for x. (8)/(3)-(x+8)/(3x)=3 Answer: x=

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

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Solve for
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(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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Math Problems

Grade 8

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. $\newline$ $x = -4$