7(x+2)+2(x+2)=7x-7

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Solution for 7(x+2)+2(x+2)=7x-7 equation:


Simplifying
7(x + 2) + 2(x + 2) = 7x + -7

Reorder the terms:
7(2 + x) + 2(x + 2) = 7x + -7
(2 * 7 + x * 7) + 2(x + 2) = 7x + -7
(14 + 7x) + 2(x + 2) = 7x + -7

Reorder the terms:
14 + 7x + 2(2 + x) = 7x + -7
14 + 7x + (2 * 2 + x * 2) = 7x + -7
14 + 7x + (4 + 2x) = 7x + -7

Reorder the terms:
14 + 4 + 7x + 2x = 7x + -7

Combine like terms: 14 + 4 = 18
18 + 7x + 2x = 7x + -7

Combine like terms: 7x + 2x = 9x
18 + 9x = 7x + -7

Reorder the terms:
18 + 9x = -7 + 7x

Solving
18 + 9x = -7 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
18 + 9x + -7x = -7 + 7x + -7x

Combine like terms: 9x + -7x = 2x
18 + 2x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + 2x = -7 + 0
18 + 2x = -7

Add '-18' to each side of the equation.
18 + -18 + 2x = -7 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = -7 + -18
2x = -7 + -18

Combine like terms: -7 + -18 = -25
2x = -25

Divide each side by '2'.
x = -12.5

Simplifying
x = -12.5

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