7(x+2)+8(x+2)=5x-5

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Solution for 7(x+2)+8(x+2)=5x-5 equation: 


Simplifying
7(x + 2) + 8(x + 2) = 5x + -5

Reorder the terms:
7(2 + x) + 8(x + 2) = 5x + -5
(2 * 7 + x * 7) + 8(x + 2) = 5x + -5
(14 + 7x) + 8(x + 2) = 5x + -5

Reorder the terms:
14 + 7x + 8(2 + x) = 5x + -5
14 + 7x + (2 * 8 + x * 8) = 5x + -5
14 + 7x + (16 + 8x) = 5x + -5

Reorder the terms:
14 + 16 + 7x + 8x = 5x + -5

Combine like terms: 14 + 16 = 30
30 + 7x + 8x = 5x + -5

Combine like terms: 7x + 8x = 15x
30 + 15x = 5x + -5

Reorder the terms:
30 + 15x = -5 + 5x

Solving
30 + 15x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
30 + 15x + -5x = -5 + 5x + -5x

Combine like terms: 15x + -5x = 10x
30 + 10x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 10x = -5 + 0
30 + 10x = -5

Add '-30' to each side of the equation.
30 + -30 + 10x = -5 + -30

Combine like terms: 30 + -30 = 0
0 + 10x = -5 + -30
10x = -5 + -30

Combine like terms: -5 + -30 = -35
10x = -35

Divide each side by '10'.
x = -3.5

Simplifying
x = -3.5

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