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

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


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

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

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

Multiply 3 * 2
6(-1 + 2x) + 12 = 4x + -3
(-1 * 6 + 2x * 6) + 12 = 4x + -3
(-6 + 12x) + 12 = 4x + -3

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

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

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

Solving
6 + 12x = -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.
6 + 12x + -4x = -3 + 4x + -4x

Combine like terms: 12x + -4x = 8x
6 + 8x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 8x = -3 + 0
6 + 8x = -3

Add '-6' to each side of the equation.
6 + -6 + 8x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -3 + -6
8x = -3 + -6

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

Divide each side by '8'.
x = -1.125

Simplifying
x = -1.125

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