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

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


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

Reorder the terms:
6(-2 + x) = -2x + 36
(-2 * 6 + x * 6) = -2x + 36
(-12 + 6x) = -2x + 36

Reorder the terms:
-12 + 6x = 36 + -2x

Solving
-12 + 6x = 36 + -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.
-12 + 6x + 2x = 36 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-12 + 8x = 36 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 8x = 36 + 0
-12 + 8x = 36

Add '12' to each side of the equation.
-12 + 12 + 8x = 36 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 36 + 12
8x = 36 + 12

Combine like terms: 36 + 12 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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