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

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Solution for 13=3(x-1)-(x-8) equation: 


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

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

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

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

Combine like terms: -3 + 8 = 5
13 = 5 + 3x + -1x

Combine like terms: 3x + -1x = 2x
13 = 5 + 2x

Solving
13 = 5 + 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 = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -2x = 5 + 0
13 + -2x = 5

Add '-13' to each side of the equation.
13 + -13 + -2x = 5 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 5 + -13
-2x = 5 + -13

Combine like terms: 5 + -13 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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