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

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


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

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

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

Combine like terms: -6 + -2 = -8
-8 + -12x = -4(x + 1) + 3x

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

Combine like terms: -4x + 3x = -1x
-8 + -12x = -4 + -1x

Solving
-8 + -12x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + -12x + x = -4 + -1x + x

Combine like terms: -12x + x = -11x
-8 + -11x = -4 + -1x + x

Combine like terms: -1x + x = 0
-8 + -11x = -4 + 0
-8 + -11x = -4

Add '8' to each side of the equation.
-8 + 8 + -11x = -4 + 8

Combine like terms: -8 + 8 = 0
0 + -11x = -4 + 8
-11x = -4 + 8

Combine like terms: -4 + 8 = 4
-11x = 4

Divide each side by '-11'.
x = -0.3636363636

Simplifying
x = -0.3636363636

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