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

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


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

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

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

Combine like terms: 3 + 12 = 15
15 + 6x = 4x + -3

Reorder the terms:
15 + 6x = -3 + 4x

Solving
15 + 6x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 6x + -4x = -3 + 4x + -4x

Combine like terms: 6x + -4x = 2x
15 + 2x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 2x = -3 + 0
15 + 2x = -3

Add '-15' to each side of the equation.
15 + -15 + 2x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = -3 + -15
2x = -3 + -15

Combine like terms: -3 + -15 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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