9(3x+4)=4(x-4)+15

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Solution for 9(3x+4)=4(x-4)+15 equation: 


Simplifying
9(3x + 4) = 4(x + -4) + 15

Reorder the terms:
9(4 + 3x) = 4(x + -4) + 15
(4 * 9 + 3x * 9) = 4(x + -4) + 15
(36 + 27x) = 4(x + -4) + 15

Reorder the terms:
36 + 27x = 4(-4 + x) + 15
36 + 27x = (-4 * 4 + x * 4) + 15
36 + 27x = (-16 + 4x) + 15

Reorder the terms:
36 + 27x = -16 + 15 + 4x

Combine like terms: -16 + 15 = -1
36 + 27x = -1 + 4x

Solving
36 + 27x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
36 + 27x + -4x = -1 + 4x + -4x

Combine like terms: 27x + -4x = 23x
36 + 23x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + 23x = -1 + 0
36 + 23x = -1

Add '-36' to each side of the equation.
36 + -36 + 23x = -1 + -36

Combine like terms: 36 + -36 = 0
0 + 23x = -1 + -36
23x = -1 + -36

Combine like terms: -1 + -36 = -37
23x = -37

Divide each side by '23'.
x = -1.608695652

Simplifying
x = -1.608695652

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