(12x-5)=(8x+15)

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Solution for (12x-5)=(8x+15) equation:


Simplifying
(12x + -5) = (8x + 15)

Reorder the terms:
(-5 + 12x) = (8x + 15)

Remove parenthesis around (-5 + 12x)
-5 + 12x = (8x + 15)

Reorder the terms:
-5 + 12x = (15 + 8x)

Remove parenthesis around (15 + 8x)
-5 + 12x = 15 + 8x

Solving
-5 + 12x = 15 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-5 + 12x + -8x = 15 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-5 + 4x = 15 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + 4x = 15 + 0
-5 + 4x = 15

Add '5' to each side of the equation.
-5 + 5 + 4x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 15 + 5
4x = 15 + 5

Combine like terms: 15 + 5 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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