15=3(x-2)-(x-9)

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Solution for 15=3(x-2)-(x-9) equation: 


Simplifying
15 = 3(x + -2) + -1(x + -9)

Reorder the terms:
15 = 3(-2 + x) + -1(x + -9)
15 = (-2 * 3 + x * 3) + -1(x + -9)
15 = (-6 + 3x) + -1(x + -9)

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

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

Combine like terms: -6 + 9 = 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 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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