x+12=4(2x-1)-3x

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Solution for x+12=4(2x-1)-3x equation:


Simplifying
x + 12 = 4(2x + -1) + -3x

Reorder the terms:
12 + x = 4(2x + -1) + -3x

Reorder the terms:
12 + x = 4(-1 + 2x) + -3x
12 + x = (-1 * 4 + 2x * 4) + -3x
12 + x = (-4 + 8x) + -3x

Combine like terms: 8x + -3x = 5x
12 + x = -4 + 5x

Solving
12 + x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + x + -5x = -4 + 5x + -5x

Combine like terms: x + -5x = -4x
12 + -4x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -4x = -4 + 0
12 + -4x = -4

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

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

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

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

Simplifying
x = 4

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