4(3x+2)-3=-3x-6

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Solution for 4(3x+2)-3=-3x-6 equation:


Simplifying
4(3x + 2) + -3 = -3x + -6

Reorder the terms:
4(2 + 3x) + -3 = -3x + -6
(2 * 4 + 3x * 4) + -3 = -3x + -6
(8 + 12x) + -3 = -3x + -6

Reorder the terms:
8 + -3 + 12x = -3x + -6

Combine like terms: 8 + -3 = 5
5 + 12x = -3x + -6

Reorder the terms:
5 + 12x = -6 + -3x

Solving
5 + 12x = -6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
5 + 12x + 3x = -6 + -3x + 3x

Combine like terms: 12x + 3x = 15x
5 + 15x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 15x = -6 + 0
5 + 15x = -6

Add '-5' to each side of the equation.
5 + -5 + 15x = -6 + -5

Combine like terms: 5 + -5 = 0
0 + 15x = -6 + -5
15x = -6 + -5

Combine like terms: -6 + -5 = -11
15x = -11

Divide each side by '15'.
x = -0.7333333333

Simplifying
x = -0.7333333333

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