(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 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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