x*4+36=x*8-12

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Solution for x*4+36=x*8-12 equation:


Simplifying
x * 4 + 36 = x * 8 + -12

Reorder the terms for easier multiplication:
4x + 36 = x * 8 + -12

Reorder the terms:
36 + 4x = x * 8 + -12

Reorder the terms for easier multiplication:
36 + 4x = 8x + -12

Reorder the terms:
36 + 4x = -12 + 8x

Solving
36 + 4x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
36 + 4x + -8x = -12 + 8x + -8x

Combine like terms: 4x + -8x = -4x
36 + -4x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
36 + -4x = -12 + 0
36 + -4x = -12

Add '-36' to each side of the equation.
36 + -36 + -4x = -12 + -36

Combine like terms: 36 + -36 = 0
0 + -4x = -12 + -36
-4x = -12 + -36

Combine like terms: -12 + -36 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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