2(3x-12)=(5x+2)

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Solution for 2(3x-12)=(5x+2) equation:


Simplifying
2(3x + -12) = (5x + 2)

Reorder the terms:
2(-12 + 3x) = (5x + 2)
(-12 * 2 + 3x * 2) = (5x + 2)
(-24 + 6x) = (5x + 2)

Reorder the terms:
-24 + 6x = (2 + 5x)

Remove parenthesis around (2 + 5x)
-24 + 6x = 2 + 5x

Solving
-24 + 6x = 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.
-24 + 6x + -5x = 2 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-24 + 1x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + 1x = 2 + 0
-24 + 1x = 2

Add '24' to each side of the equation.
-24 + 24 + 1x = 2 + 24

Combine like terms: -24 + 24 = 0
0 + 1x = 2 + 24
1x = 2 + 24

Combine like terms: 2 + 24 = 26
1x = 26

Divide each side by '1'.
x = 26

Simplifying
x = 26

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