3(3x+1)=-4(2x-3)-5x

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Solution for 3(3x+1)=-4(2x-3)-5x equation:


Simplifying
3(3x + 1) = -4(2x + -3) + -5x

Reorder the terms:
3(1 + 3x) = -4(2x + -3) + -5x
(1 * 3 + 3x * 3) = -4(2x + -3) + -5x
(3 + 9x) = -4(2x + -3) + -5x

Reorder the terms:
3 + 9x = -4(-3 + 2x) + -5x
3 + 9x = (-3 * -4 + 2x * -4) + -5x
3 + 9x = (12 + -8x) + -5x

Combine like terms: -8x + -5x = -13x
3 + 9x = 12 + -13x

Solving
3 + 9x = 12 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
3 + 9x + 13x = 12 + -13x + 13x

Combine like terms: 9x + 13x = 22x
3 + 22x = 12 + -13x + 13x

Combine like terms: -13x + 13x = 0
3 + 22x = 12 + 0
3 + 22x = 12

Add '-3' to each side of the equation.
3 + -3 + 22x = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 22x = 12 + -3
22x = 12 + -3

Combine like terms: 12 + -3 = 9
22x = 9

Divide each side by '22'.
x = 0.4090909091

Simplifying
x = 0.4090909091

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