9(x-4)=8(x+12)-5x

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Solution for 9(x-4)=8(x+12)-5x equation:


Simplifying
9(x + -4) = 8(x + 12) + -5x

Reorder the terms:
9(-4 + x) = 8(x + 12) + -5x
(-4 * 9 + x * 9) = 8(x + 12) + -5x
(-36 + 9x) = 8(x + 12) + -5x

Reorder the terms:
-36 + 9x = 8(12 + x) + -5x
-36 + 9x = (12 * 8 + x * 8) + -5x
-36 + 9x = (96 + 8x) + -5x

Combine like terms: 8x + -5x = 3x
-36 + 9x = 96 + 3x

Solving
-36 + 9x = 96 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-36 + 9x + -3x = 96 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-36 + 6x = 96 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + 6x = 96 + 0
-36 + 6x = 96

Add '36' to each side of the equation.
-36 + 36 + 6x = 96 + 36

Combine like terms: -36 + 36 = 0
0 + 6x = 96 + 36
6x = 96 + 36

Combine like terms: 96 + 36 = 132
6x = 132

Divide each side by '6'.
x = 22

Simplifying
x = 22

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