13=3(x-3)-(x-8)

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Solution for 13=3(x-3)-(x-8) equation: 


Simplifying
13 = 3(x + -3) + -1(x + -8)

Reorder the terms:
13 = 3(-3 + x) + -1(x + -8)
13 = (-3 * 3 + x * 3) + -1(x + -8)
13 = (-9 + 3x) + -1(x + -8)

Reorder the terms:
13 = -9 + 3x + -1(-8 + x)
13 = -9 + 3x + (-8 * -1 + x * -1)
13 = -9 + 3x + (8 + -1x)

Reorder the terms:
13 = -9 + 8 + 3x + -1x

Combine like terms: -9 + 8 = -1
13 = -1 + 3x + -1x

Combine like terms: 3x + -1x = 2x
13 = -1 + 2x

Solving
13 = -1 + 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.
13 + -2x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -2x = -1 + 0
13 + -2x = -1

Add '-13' to each side of the equation.
13 + -13 + -2x = -1 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -1 + -13
-2x = -1 + -13

Combine like terms: -1 + -13 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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