Solve for x : 7(2x+3)-6x=-(-9x-7)+6x Answer: x=

Distribute 7: Distribute the 7 into the terms inside the parentheses on the left side of the equation. 7 * 2x + 7 * 3 - 6x = -(-9x - 7) + 6x 14x + 21 - 6x = 9x + 7 + 6xCombine like terms: Combine like terms on the left side of the equation. (14x - 6x) + 21 = 9x + 7 + 6x 8x + 21 = 9x + 7 + 6xCombine like terms: Combine like terms on the right side of the equation. 8x + 21 = (9x + 6x) + 7 8x + 21 = 15x + 7Subtract 8x: Subtract 8x from both sides to get all x terms on one side. 8x + 21 - 8x = 15x + 7 - 8x 21 = 15x - 8x + 7Combine like terms: Combine like terms on the right side of the equation. 21 = (15x - 8x) + 7 21 = 7x + 7Subtract 7: Subtract 7 from both sides to isolate the term with x. 21 - 7 = 7x + 7 - 7 14 = 7xDivide by 7: Divide both sides by 7 to solve for x. 14 / 7 = 7x / 7 2 = x

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Solve for
x :

7(2x+3)-6x=-(-9x-7)+6x
Answer:
x=

Solve for $x$ : $\newline$ $7(2 x+3)-6 x=-(-9 x-7)+6 x$ $\newline$ Answer: $x=$

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Math Problems

Grade 8

Solve equations with the distributive property

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Q. Solve for

x

\newline

7(2 x+3)-6 x=-(-9 x-7)+6 x

\newline

Answer:

x=

Distribute $7$ : Distribute the $7$ into the terms inside the parentheses on the left side of the equation. $7 \times 2x + 7 \times 3 - 6x = -( -9x - 7) + 6x$ $14x + 21 - 6x = 9x + 7 + 6x$
Combine like terms: Combine like terms on the left side of the equation. $\newline$ $(14x - 6x) + 21 = 9x + 7 + 6x$ $\newline$ $8x + 21 = 9x + 7 + 6x$
Combine like terms: Combine like terms on the right side of the equation. $\newline$ $8x + 21 = (9x + 6x) + 7$ $\newline$ $8x + 21 = 15x + 7$
Subtract $8x$ : Subtract $8x$ from both sides to get all $x$ terms on one side. $\newline$ $8x + 21 - 8x = 15x + 7 - 8x$ $\newline$ $21 = 15x - 8x + 7$
Combine like terms: Combine like terms on the right side of the equation. $\newline$ $21 = (15x - 8x) + 7$ $\newline$ $21 = 7x + 7$
Subtract $7$ : Subtract $7$ from both sides to isolate the term with $x$ . $\newline$ $21 - 7 = 7x + 7 - 7$ $\newline$ $14 = 7x$
Divide by $7$ : Divide both sides by $7$ to solve for $x$ . $\frac{14}{7} = \frac{7x}{7}$ $2 = x$