15=3(x-3)-(x-6)

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Solution for 15=3(x-3)-(x-6) equation: 


Simplifying
15 = 3(x + -3) + -1(x + -6)

Reorder the terms:
15 = 3(-3 + x) + -1(x + -6)
15 = (-3 * 3 + x * 3) + -1(x + -6)
15 = (-9 + 3x) + -1(x + -6)

Reorder the terms:
15 = -9 + 3x + -1(-6 + x)
15 = -9 + 3x + (-6 * -1 + x * -1)
15 = -9 + 3x + (6 + -1x)

Reorder the terms:
15 = -9 + 6 + 3x + -1x

Combine like terms: -9 + 6 = -3
15 = -3 + 3x + -1x

Combine like terms: 3x + -1x = 2x
15 = -3 + 2x

Solving
15 = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + -2x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -2x = -3 + 0
15 + -2x = -3

Add '-15' to each side of the equation.
15 + -15 + -2x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = -3 + -15
-2x = -3 + -15

Combine like terms: -3 + -15 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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