Solve for x. (x+6)/(x-8)=(7)/(8) Answer:

Cross-multiply fractions: Cross-multiply to eliminate the fractions. Multiply both sides of the equation by (x-8) and by 8 to get rid of the denominators. (x+6)/(x-8) * (x-8) * 8 = (7)/(8) * (x-8) * 8 8(x+6) = 7(x-8)Distribute numbers: Distribute the numbers on both sides. Multiply the 8 into (x+6) and the 7 into (x-8). 8x + 48 = 7x - 56Combine x terms: Get all the x terms on one side and the constants on the other side. Subtract 7x from both sides to get x by itself. 8x - 7x + 48 = 7x - 7x - 56 x + 48 = -56Isolate variable x: Isolate the variable x. Subtract 48 from both sides to solve for x. x + 48 - 48 = -56 - 48 x = -56 - 48Combine constants: Combine the constants to find the value of x. x = -104

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Solve for
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(x+6)/(x-8)=(7)/(8)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $\frac{x+6}{x-8}=\frac{7}{8}$ $\newline$ Answer:

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Math Problems

Grade 8

Solve equations with the distributive property

Full solution

Q. Solve for

\mathrm{x}

\newline

\frac{x+6}{x-8}=\frac{7}{8}

\newline

Answer:

Cross-multiply fractions: Cross-multiply to eliminate the fractions. $\newline$ Multiply both sides of the equation by $(x-8)$ and by $8$ to get rid of the denominators. $\newline$ $\frac{x+6}{x-8} \times (x-8) \times 8 = \frac{7}{8} \times (x-8) \times 8$ $\newline$ $8(x+6) = 7(x-8)$
Distribute numbers: Distribute the numbers on both sides. $\newline$ Multiply the $8$ into $(x+6)$ and the $7$ into $(x-8)$ . $\newline$ $8x + 48 = 7x - 56$
Combine $x$ terms: Get all the $x$ terms on one side and the constants on the other side. $\newline$ Subtract $7x$ from both sides to get $x$ by itself. $\newline$ $8x - 7x + 48 = 7x - 7x - 56$ $\newline$ $x + 48 = -56$
Isolate variable x: Isolate the variable x. $\newline$ Subtract $48$ from both sides to solve for $x$ . $\newline$ $x + 48 - 48 = -56 - 48$ $\newline$ $x = -56 - 48$
Combine constants: Combine the constants to find the value of $x$ . $x = -104$