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

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


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

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

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

Reorder the terms:
-36 + 4x = -12 + x

Solving
-36 + 4x = -12 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-36 + 4x + -1x = -12 + x + -1x

Combine like terms: 4x + -1x = 3x
-36 + 3x = -12 + x + -1x

Combine like terms: x + -1x = 0
-36 + 3x = -12 + 0
-36 + 3x = -12

Add '36' to each side of the equation.
-36 + 36 + 3x = -12 + 36

Combine like terms: -36 + 36 = 0
0 + 3x = -12 + 36
3x = -12 + 36

Combine like terms: -12 + 36 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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