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

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


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

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

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

Combine like terms: -8x + -3x = -11x
9 + 12x = 12 + -11x

Solving
9 + 12x = 12 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
9 + 12x + 11x = 12 + -11x + 11x

Combine like terms: 12x + 11x = 23x
9 + 23x = 12 + -11x + 11x

Combine like terms: -11x + 11x = 0
9 + 23x = 12 + 0
9 + 23x = 12

Add '-9' to each side of the equation.
9 + -9 + 23x = 12 + -9

Combine like terms: 9 + -9 = 0
0 + 23x = 12 + -9
23x = 12 + -9

Combine like terms: 12 + -9 = 3
23x = 3

Divide each side by '23'.
x = 0.1304347826

Simplifying
x = 0.1304347826

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