9(x+4)+x=2(x+4)-2

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Solution for 9(x+4)+x=2(x+4)-2 equation: 


Simplifying
9(x + 4) + x = 2(x + 4) + -2

Reorder the terms:
9(4 + x) + x = 2(x + 4) + -2
(4 * 9 + x * 9) + x = 2(x + 4) + -2
(36 + 9x) + x = 2(x + 4) + -2

Combine like terms: 9x + x = 10x
36 + 10x = 2(x + 4) + -2

Reorder the terms:
36 + 10x = 2(4 + x) + -2
36 + 10x = (4 * 2 + x * 2) + -2
36 + 10x = (8 + 2x) + -2

Reorder the terms:
36 + 10x = 8 + -2 + 2x

Combine like terms: 8 + -2 = 6
36 + 10x = 6 + 2x

Solving
36 + 10x = 6 + 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.
36 + 10x + -2x = 6 + 2x + -2x

Combine like terms: 10x + -2x = 8x
36 + 8x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + 8x = 6 + 0
36 + 8x = 6

Add '-36' to each side of the equation.
36 + -36 + 8x = 6 + -36

Combine like terms: 36 + -36 = 0
0 + 8x = 6 + -36
8x = 6 + -36

Combine like terms: 6 + -36 = -30
8x = -30

Divide each side by '8'.
x = -3.75

Simplifying
x = -3.75

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