2(3x-12)=x+13

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Solution for 2(3x-12)=x+13 equation:


Simplifying
2(3x + -12) = x + 13

Reorder the terms:
2(-12 + 3x) = x + 13
(-12 * 2 + 3x * 2) = x + 13
(-24 + 6x) = x + 13

Reorder the terms:
-24 + 6x = 13 + x

Solving
-24 + 6x = 13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-24 + 6x + -1x = 13 + x + -1x

Combine like terms: 6x + -1x = 5x
-24 + 5x = 13 + x + -1x

Combine like terms: x + -1x = 0
-24 + 5x = 13 + 0
-24 + 5x = 13

Add '24' to each side of the equation.
-24 + 24 + 5x = 13 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 13 + 24
5x = 13 + 24

Combine like terms: 13 + 24 = 37
5x = 37

Divide each side by '5'.
x = 7.4

Simplifying
x = 7.4

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