2(x-13)=x+31

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Solution for 2(x-13)=x+31 equation:


Simplifying
2(x + -13) = x + 31

Reorder the terms:
2(-13 + x) = x + 31
(-13 * 2 + x * 2) = x + 31
(-26 + 2x) = x + 31

Reorder the terms:
-26 + 2x = 31 + x

Solving
-26 + 2x = 31 + 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.
-26 + 2x + -1x = 31 + x + -1x

Combine like terms: 2x + -1x = 1x
-26 + 1x = 31 + x + -1x

Combine like terms: x + -1x = 0
-26 + 1x = 31 + 0
-26 + 1x = 31

Add '26' to each side of the equation.
-26 + 26 + 1x = 31 + 26

Combine like terms: -26 + 26 = 0
0 + 1x = 31 + 26
1x = 31 + 26

Combine like terms: 31 + 26 = 57
1x = 57

Divide each side by '1'.
x = 57

Simplifying
x = 57

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