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

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


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

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

Reorder the terms:
16 + 8x + 2(2 + x) = 5x + -5
16 + 8x + (2 * 2 + x * 2) = 5x + -5
16 + 8x + (4 + 2x) = 5x + -5

Reorder the terms:
16 + 4 + 8x + 2x = 5x + -5

Combine like terms: 16 + 4 = 20
20 + 8x + 2x = 5x + -5

Combine like terms: 8x + 2x = 10x
20 + 10x = 5x + -5

Reorder the terms:
20 + 10x = -5 + 5x

Solving
20 + 10x = -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.
20 + 10x + -5x = -5 + 5x + -5x

Combine like terms: 10x + -5x = 5x
20 + 5x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + 5x = -5 + 0
20 + 5x = -5

Add '-20' to each side of the equation.
20 + -20 + 5x = -5 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = -5 + -20
5x = -5 + -20

Combine like terms: -5 + -20 = -25
5x = -25

Divide each side by '5'.
x = -5

Simplifying
x = -5

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