(3x-8)=(x+2)

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Solution for (3x-8)=(x+2) equation:


Simplifying
(3x + -8) = (x + 2)

Reorder the terms:
(-8 + 3x) = (x + 2)

Remove parenthesis around (-8 + 3x)
-8 + 3x = (x + 2)

Reorder the terms:
-8 + 3x = (2 + x)

Remove parenthesis around (2 + x)
-8 + 3x = 2 + x

Solving
-8 + 3x = 2 + 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.
-8 + 3x + -1x = 2 + x + -1x

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

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

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

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

Combine like terms: 2 + 8 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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