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

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


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

Reorder the terms:
3(-1 + 2x) + 12 = 4x + -3 + 4x
(-1 * 3 + 2x * 3) + 12 = 4x + -3 + 4x
(-3 + 6x) + 12 = 4x + -3 + 4x

Reorder the terms:
-3 + 12 + 6x = 4x + -3 + 4x

Combine like terms: -3 + 12 = 9
9 + 6x = 4x + -3 + 4x

Reorder the terms:
9 + 6x = -3 + 4x + 4x

Combine like terms: 4x + 4x = 8x
9 + 6x = -3 + 8x

Solving
9 + 6x = -3 + 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.
9 + 6x + -8x = -3 + 8x + -8x

Combine like terms: 6x + -8x = -2x
9 + -2x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + -2x = -3 + 0
9 + -2x = -3

Add '-9' to each side of the equation.
9 + -9 + -2x = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -3 + -9
-2x = -3 + -9

Combine like terms: -3 + -9 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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