5(4x-1)-12=5x+13

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Solution for 5(4x-1)-12=5x+13 equation:


Simplifying
5(4x + -1) + -12 = 5x + 13

Reorder the terms:
5(-1 + 4x) + -12 = 5x + 13
(-1 * 5 + 4x * 5) + -12 = 5x + 13
(-5 + 20x) + -12 = 5x + 13

Reorder the terms:
-5 + -12 + 20x = 5x + 13

Combine like terms: -5 + -12 = -17
-17 + 20x = 5x + 13

Reorder the terms:
-17 + 20x = 13 + 5x

Solving
-17 + 20x = 13 + 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.
-17 + 20x + -5x = 13 + 5x + -5x

Combine like terms: 20x + -5x = 15x
-17 + 15x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-17 + 15x = 13 + 0
-17 + 15x = 13

Add '17' to each side of the equation.
-17 + 17 + 15x = 13 + 17

Combine like terms: -17 + 17 = 0
0 + 15x = 13 + 17
15x = 13 + 17

Combine like terms: 13 + 17 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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