15x-9(x-4)=x-12

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Solution for 15x-9(x-4)=x-12 equation:


Simplifying
15x + -9(x + -4) = x + -12

Reorder the terms:
15x + -9(-4 + x) = x + -12
15x + (-4 * -9 + x * -9) = x + -12
15x + (36 + -9x) = x + -12

Reorder the terms:
36 + 15x + -9x = x + -12

Combine like terms: 15x + -9x = 6x
36 + 6x = x + -12

Reorder the terms:
36 + 6x = -12 + x

Solving
36 + 6x = -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 + 6x + -1x = -12 + x + -1x

Combine like terms: 6x + -1x = 5x
36 + 5x = -12 + x + -1x

Combine like terms: x + -1x = 0
36 + 5x = -12 + 0
36 + 5x = -12

Add '-36' to each side of the equation.
36 + -36 + 5x = -12 + -36

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

Combine like terms: -12 + -36 = -48
5x = -48

Divide each side by '5'.
x = -9.6

Simplifying
x = -9.6

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