13=5(x-3)-(x-8)

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Solution for 13=5(x-3)-(x-8) equation:


Simplifying
13 = 5(x + -3) + -1(x + -8)

Reorder the terms:
13 = 5(-3 + x) + -1(x + -8)
13 = (-3 * 5 + x * 5) + -1(x + -8)
13 = (-15 + 5x) + -1(x + -8)

Reorder the terms:
13 = -15 + 5x + -1(-8 + x)
13 = -15 + 5x + (-8 * -1 + x * -1)
13 = -15 + 5x + (8 + -1x)

Reorder the terms:
13 = -15 + 8 + 5x + -1x

Combine like terms: -15 + 8 = -7
13 = -7 + 5x + -1x

Combine like terms: 5x + -1x = 4x
13 = -7 + 4x

Solving
13 = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13 + -4x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -4x = -7 + 0
13 + -4x = -7

Add '-13' to each side of the equation.
13 + -13 + -4x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = -7 + -13
-4x = -7 + -13

Combine like terms: -7 + -13 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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