Solve for x. (x+8)/(7)+(x-9)/(2)=x+2 Answer:

Find Common Denominator: Find a common denominator for the fractions on the left side of the equation. The common denominator for 7 and 2 is 14. Multiply each term by 14 to eliminate the denominators. (14 * (x+8)/7) + (14 * (x-9)/2) = 14 * (x+2)Eliminate Denominators: Simplify the equation by canceling out the denominators. (2 * (x+8)) + (7 * (x-9)) = 14x + 28 2x + 16 + 7x - 63 = 14x + 28Simplify Equation: Combine like terms on the left side of the equation. 2x + 7x + 16 - 63 = 14x + 28 9x - 47 = 14x + 28Combine Like Terms: Move all terms containing x to one side and constant terms to the other side. 9x - 14x = 28 + 47 -5x = 75Move Terms: Solve for x by dividing both sides by -5. x = 75 / -5 x = -15

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Solve for
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(x+8)/(7)+(x-9)/(2)=x+2
Answer:

Solve for $\mathrm{x}$ . $\newline$ $\frac{x+8}{7}+\frac{x-9}{2}=x+2$ $\newline$ Answer:

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Math Problems

Grade 8

Solve equations with the distributive property

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Q. Solve for

\mathrm{x}

\newline

\frac{x+8}{7}+\frac{x-9}{2}=x+2

\newline

Answer:

Find Common Denominator: Find a common denominator for the fractions on the left side of the equation. $\newline$ The common denominator for $7$ and $2$ is $14$ . Multiply each term by $14$ to eliminate the denominators. $\newline$ $(14 \times (x+8)/7) + (14 \times (x-9)/2) = 14 \times (x+2)$
Eliminate Denominators: Simplify the equation by canceling out the denominators. $\newline$ $(2 \times (x+8)) + (7 \times (x-9)) = 14x + 28$ $\newline$ $2x + 16 + 7x - 63 = 14x + 28$
Simplify Equation: Combine like terms on the left side of the equation. $\newline$ $2x + 7x + 16 - 63 = 14x + 28$ $\newline$ $9x - 47 = 14x + 28$
Combine Like Terms: Move all terms containing $x$ to one side and constant terms to the other side. $9x - 14x = 28 + 47$ $-5x = 75$
Move Terms: Solve for $x$ by dividing both sides by $-5$ . $x = \frac{75}{-5}$ $x = -15$