(x+12)*4=x*2-90

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Solution for (x+12)*4=x*2-90 equation:


Simplifying
(x + 12) * 4 = x * 2 + -90

Reorder the terms:
(12 + x) * 4 = x * 2 + -90

Reorder the terms for easier multiplication:
4(12 + x) = x * 2 + -90
(12 * 4 + x * 4) = x * 2 + -90
(48 + 4x) = x * 2 + -90

Reorder the terms for easier multiplication:
48 + 4x = 2x + -90

Reorder the terms:
48 + 4x = -90 + 2x

Solving
48 + 4x = -90 + 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.
48 + 4x + -2x = -90 + 2x + -2x

Combine like terms: 4x + -2x = 2x
48 + 2x = -90 + 2x + -2x

Combine like terms: 2x + -2x = 0
48 + 2x = -90 + 0
48 + 2x = -90

Add '-48' to each side of the equation.
48 + -48 + 2x = -90 + -48

Combine like terms: 48 + -48 = 0
0 + 2x = -90 + -48
2x = -90 + -48

Combine like terms: -90 + -48 = -138
2x = -138

Divide each side by '2'.
x = -69

Simplifying
x = -69

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