8x-5=12x+15

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


Simplifying
8x + -5 = 12x + 15

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

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

Solving
-5 + 8x = 15 + 12x

Solving for variable 'x'.

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

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

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

Combine like terms: 12x + -12x = 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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