3(4x+3)=-5(3x-4)-3x

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Solution for 3(4x+3)=-5(3x-4)-3x equation:


Simplifying
3(4x + 3) = -5(3x + -4) + -3x

Reorder the terms:
3(3 + 4x) = -5(3x + -4) + -3x
(3 * 3 + 4x * 3) = -5(3x + -4) + -3x
(9 + 12x) = -5(3x + -4) + -3x

Reorder the terms:
9 + 12x = -5(-4 + 3x) + -3x
9 + 12x = (-4 * -5 + 3x * -5) + -3x
9 + 12x = (20 + -15x) + -3x

Combine like terms: -15x + -3x = -18x
9 + 12x = 20 + -18x

Solving
9 + 12x = 20 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
9 + 12x + 18x = 20 + -18x + 18x

Combine like terms: 12x + 18x = 30x
9 + 30x = 20 + -18x + 18x

Combine like terms: -18x + 18x = 0
9 + 30x = 20 + 0
9 + 30x = 20

Add '-9' to each side of the equation.
9 + -9 + 30x = 20 + -9

Combine like terms: 9 + -9 = 0
0 + 30x = 20 + -9
30x = 20 + -9

Combine like terms: 20 + -9 = 11
30x = 11

Divide each side by '30'.
x = 0.3666666667

Simplifying
x = 0.3666666667

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