7(x+2)+8(x+2)=7x-7

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Solution for 7(x+2)+8(x+2)=7x-7 equation: 


Simplifying
7(x + 2) + 8(x + 2) = 7x + -7

Reorder the terms:
7(2 + x) + 8(x + 2) = 7x + -7
(2 * 7 + x * 7) + 8(x + 2) = 7x + -7
(14 + 7x) + 8(x + 2) = 7x + -7

Reorder the terms:
14 + 7x + 8(2 + x) = 7x + -7
14 + 7x + (2 * 8 + x * 8) = 7x + -7
14 + 7x + (16 + 8x) = 7x + -7

Reorder the terms:
14 + 16 + 7x + 8x = 7x + -7

Combine like terms: 14 + 16 = 30
30 + 7x + 8x = 7x + -7

Combine like terms: 7x + 8x = 15x
30 + 15x = 7x + -7

Reorder the terms:
30 + 15x = -7 + 7x

Solving
30 + 15x = -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.
30 + 15x + -7x = -7 + 7x + -7x

Combine like terms: 15x + -7x = 8x
30 + 8x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + 8x = -7 + 0
30 + 8x = -7

Add '-30' to each side of the equation.
30 + -30 + 8x = -7 + -30

Combine like terms: 30 + -30 = 0
0 + 8x = -7 + -30
8x = -7 + -30

Combine like terms: -7 + -30 = -37
8x = -37

Divide each side by '8'.
x = -4.625

Simplifying
x = -4.625

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