(8x-12)=5x-2

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Solution for (8x-12)=5x-2 equation:


Simplifying
(8x + -12) = 5x + -2

Reorder the terms:
(-12 + 8x) = 5x + -2

Remove parenthesis around (-12 + 8x)
-12 + 8x = 5x + -2

Reorder the terms:
-12 + 8x = -2 + 5x

Solving
-12 + 8x = -2 + 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.
-12 + 8x + -5x = -2 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-12 + 3x = -2 + 0
-12 + 3x = -2

Add '12' to each side of the equation.
-12 + 12 + 3x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -2 + 12
3x = -2 + 12

Combine like terms: -2 + 12 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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