9(x+4)=5(x-1)-7

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Solution for 9(x+4)=5(x-1)-7 equation: 


Simplifying
9(x + 4) = 5(x + -1) + -7

Reorder the terms:
9(4 + x) = 5(x + -1) + -7
(4 * 9 + x * 9) = 5(x + -1) + -7
(36 + 9x) = 5(x + -1) + -7

Reorder the terms:
36 + 9x = 5(-1 + x) + -7
36 + 9x = (-1 * 5 + x * 5) + -7
36 + 9x = (-5 + 5x) + -7

Reorder the terms:
36 + 9x = -5 + -7 + 5x

Combine like terms: -5 + -7 = -12
36 + 9x = -12 + 5x

Solving
36 + 9x = -12 + 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 + 9x + -5x = -12 + 5x + -5x

Combine like terms: 9x + -5x = 4x
36 + 4x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
36 + 4x = -12 + 0
36 + 4x = -12

Add '-36' to each side of the equation.
36 + -36 + 4x = -12 + -36

Combine like terms: 36 + -36 = 0
0 + 4x = -12 + -36
4x = -12 + -36

Combine like terms: -12 + -36 = -48
4x = -48

Divide each side by '4'.
x = -12

Simplifying
x = -12

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