4(x+9)=-2(x-5)+2

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Solution for 4(x+9)=-2(x-5)+2 equation: 


Simplifying
4(x + 9) = -2(x + -5) + 2

Reorder the terms:
4(9 + x) = -2(x + -5) + 2
(9 * 4 + x * 4) = -2(x + -5) + 2
(36 + 4x) = -2(x + -5) + 2

Reorder the terms:
36 + 4x = -2(-5 + x) + 2
36 + 4x = (-5 * -2 + x * -2) + 2
36 + 4x = (10 + -2x) + 2

Reorder the terms:
36 + 4x = 10 + 2 + -2x

Combine like terms: 10 + 2 = 12
36 + 4x = 12 + -2x

Solving
36 + 4x = 12 + -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 + 4x + 2x = 12 + -2x + 2x

Combine like terms: 4x + 2x = 6x
36 + 6x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
36 + 6x = 12 + 0
36 + 6x = 12

Add '-36' to each side of the equation.
36 + -36 + 6x = 12 + -36

Combine like terms: 36 + -36 = 0
0 + 6x = 12 + -36
6x = 12 + -36

Combine like terms: 12 + -36 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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