2(5x+2)-4(x-3)=x+36

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Solution for 2(5x+2)-4(x-3)=x+36 equation: 


Simplifying
2(5x + 2) + -4(x + -3) = x + 36

Reorder the terms:
2(2 + 5x) + -4(x + -3) = x + 36
(2 * 2 + 5x * 2) + -4(x + -3) = x + 36
(4 + 10x) + -4(x + -3) = x + 36

Reorder the terms:
4 + 10x + -4(-3 + x) = x + 36
4 + 10x + (-3 * -4 + x * -4) = x + 36
4 + 10x + (12 + -4x) = x + 36

Reorder the terms:
4 + 12 + 10x + -4x = x + 36

Combine like terms: 4 + 12 = 16
16 + 10x + -4x = x + 36

Combine like terms: 10x + -4x = 6x
16 + 6x = x + 36

Reorder the terms:
16 + 6x = 36 + x

Solving
16 + 6x = 36 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
16 + 6x + -1x = 36 + x + -1x

Combine like terms: 6x + -1x = 5x
16 + 5x = 36 + x + -1x

Combine like terms: x + -1x = 0
16 + 5x = 36 + 0
16 + 5x = 36

Add '-16' to each side of the equation.
16 + -16 + 5x = 36 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 36 + -16
5x = 36 + -16

Combine like terms: 36 + -16 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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