4(x-2)=-6(x+3)+36

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Solution for 4(x-2)=-6(x+3)+36 equation: 


Simplifying
4(x + -2) = -6(x + 3) + 36

Reorder the terms:
4(-2 + x) = -6(x + 3) + 36
(-2 * 4 + x * 4) = -6(x + 3) + 36
(-8 + 4x) = -6(x + 3) + 36

Reorder the terms:
-8 + 4x = -6(3 + x) + 36
-8 + 4x = (3 * -6 + x * -6) + 36
-8 + 4x = (-18 + -6x) + 36

Reorder the terms:
-8 + 4x = -18 + 36 + -6x

Combine like terms: -18 + 36 = 18
-8 + 4x = 18 + -6x

Solving
-8 + 4x = 18 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-8 + 4x + 6x = 18 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-8 + 10x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + 10x = 18 + 0
-8 + 10x = 18

Add '8' to each side of the equation.
-8 + 8 + 10x = 18 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = 18 + 8
10x = 18 + 8

Combine like terms: 18 + 8 = 26
10x = 26

Divide each side by '10'.
x = 2.6

Simplifying
x = 2.6

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