9(3x+4)=5(x+2)-12

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Solution for 9(3x+4)=5(x+2)-12 equation: 


Simplifying
9(3x + 4) = 5(x + 2) + -12

Reorder the terms:
9(4 + 3x) = 5(x + 2) + -12
(4 * 9 + 3x * 9) = 5(x + 2) + -12
(36 + 27x) = 5(x + 2) + -12

Reorder the terms:
36 + 27x = 5(2 + x) + -12
36 + 27x = (2 * 5 + x * 5) + -12
36 + 27x = (10 + 5x) + -12

Reorder the terms:
36 + 27x = 10 + -12 + 5x

Combine like terms: 10 + -12 = -2
36 + 27x = -2 + 5x

Solving
36 + 27x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
36 + 27x + -5x = -2 + 5x + -5x

Combine like terms: 27x + -5x = 22x
36 + 22x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
36 + 22x = -2 + 0
36 + 22x = -2

Add '-36' to each side of the equation.
36 + -36 + 22x = -2 + -36

Combine like terms: 36 + -36 = 0
0 + 22x = -2 + -36
22x = -2 + -36

Combine like terms: -2 + -36 = -38
22x = -38

Divide each side by '22'.
x = -1.727272727

Simplifying
x = -1.727272727

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