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

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


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

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

Reorder the terms:
8 + 12x = -3(-3 + 4x) + -2x
8 + 12x = (-3 * -3 + 4x * -3) + -2x
8 + 12x = (9 + -12x) + -2x

Combine like terms: -12x + -2x = -14x
8 + 12x = 9 + -14x

Solving
8 + 12x = 9 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
8 + 12x + 14x = 9 + -14x + 14x

Combine like terms: 12x + 14x = 26x
8 + 26x = 9 + -14x + 14x

Combine like terms: -14x + 14x = 0
8 + 26x = 9 + 0
8 + 26x = 9

Add '-8' to each side of the equation.
8 + -8 + 26x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + 26x = 9 + -8
26x = 9 + -8

Combine like terms: 9 + -8 = 1
26x = 1

Divide each side by '26'.
x = 0.03846153846

Simplifying
x = 0.03846153846

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