(3x-8)=(5x-12)

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Solution for (3x-8)=(5x-12) equation:


Simplifying
(3x + -8) = (5x + -12)

Reorder the terms:
(-8 + 3x) = (5x + -12)

Remove parenthesis around (-8 + 3x)
-8 + 3x = (5x + -12)

Reorder the terms:
-8 + 3x = (-12 + 5x)

Remove parenthesis around (-12 + 5x)
-8 + 3x = -12 + 5x

Solving
-8 + 3x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 3x + -5x = -12 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-8 + -2x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -2x = -12 + 0
-8 + -2x = -12

Add '8' to each side of the equation.
-8 + 8 + -2x = -12 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -12 + 8
-2x = -12 + 8

Combine like terms: -12 + 8 = -4
-2x = -4

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

Simplifying
x = 2

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