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

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


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

Reorder the terms:
8(5 + x) + x = 2(x + 2) + -8
(5 * 8 + x * 8) + x = 2(x + 2) + -8
(40 + 8x) + x = 2(x + 2) + -8

Combine like terms: 8x + x = 9x
40 + 9x = 2(x + 2) + -8

Reorder the terms:
40 + 9x = 2(2 + x) + -8
40 + 9x = (2 * 2 + x * 2) + -8
40 + 9x = (4 + 2x) + -8

Reorder the terms:
40 + 9x = 4 + -8 + 2x

Combine like terms: 4 + -8 = -4
40 + 9x = -4 + 2x

Solving
40 + 9x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
40 + 9x + -2x = -4 + 2x + -2x

Combine like terms: 9x + -2x = 7x
40 + 7x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
40 + 7x = -4 + 0
40 + 7x = -4

Add '-40' to each side of the equation.
40 + -40 + 7x = -4 + -40

Combine like terms: 40 + -40 = 0
0 + 7x = -4 + -40
7x = -4 + -40

Combine like terms: -4 + -40 = -44
7x = -44

Divide each side by '7'.
x = -6.285714286

Simplifying
x = -6.285714286

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