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

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


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

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

Remove parenthesis around (13 + 3x)
13 + 3x = (x + -8)

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

Remove parenthesis around (-8 + x)
13 + 3x = -8 + x

Solving
13 + 3x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13 + 3x + -1x = -8 + x + -1x

Combine like terms: 3x + -1x = 2x
13 + 2x = -8 + x + -1x

Combine like terms: x + -1x = 0
13 + 2x = -8 + 0
13 + 2x = -8

Add '-13' to each side of the equation.
13 + -13 + 2x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = -8 + -13
2x = -8 + -13

Combine like terms: -8 + -13 = -21
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5

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