3(9x+4)=-5(2x-2)

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Solution for 3(9x+4)=-5(2x-2) equation:


Simplifying
3(9x + 4) = -5(2x + -2)

Reorder the terms:
3(4 + 9x) = -5(2x + -2)
(4 * 3 + 9x * 3) = -5(2x + -2)
(12 + 27x) = -5(2x + -2)

Reorder the terms:
12 + 27x = -5(-2 + 2x)
12 + 27x = (-2 * -5 + 2x * -5)
12 + 27x = (10 + -10x)

Solving
12 + 27x = 10 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
12 + 27x + 10x = 10 + -10x + 10x

Combine like terms: 27x + 10x = 37x
12 + 37x = 10 + -10x + 10x

Combine like terms: -10x + 10x = 0
12 + 37x = 10 + 0
12 + 37x = 10

Add '-12' to each side of the equation.
12 + -12 + 37x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + 37x = 10 + -12
37x = 10 + -12

Combine like terms: 10 + -12 = -2
37x = -2

Divide each side by '37'.
x = -0.05405405405

Simplifying
x = -0.05405405405

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