12x-5=8x+13

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Solution for 12x-5=8x+13 equation:


Simplifying
12x + -5 = 8x + 13

Reorder the terms:
-5 + 12x = 8x + 13

Reorder the terms:
-5 + 12x = 13 + 8x

Solving
-5 + 12x = 13 + 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 = 13 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-5 + 4x = 13 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + 4x = 13 + 0
-5 + 4x = 13

Add '5' to each side of the equation.
-5 + 5 + 4x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 13 + 5
4x = 13 + 5

Combine like terms: 13 + 5 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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