(3x-13)=(2x+31)

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Solution for (3x-13)=(2x+31) equation:


Simplifying
(3x + -13) = (2x + 31)

Reorder the terms:
(-13 + 3x) = (2x + 31)

Remove parenthesis around (-13 + 3x)
-13 + 3x = (2x + 31)

Reorder the terms:
-13 + 3x = (31 + 2x)

Remove parenthesis around (31 + 2x)
-13 + 3x = 31 + 2x

Solving
-13 + 3x = 31 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-13 + 3x + -2x = 31 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-13 + 1x = 31 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 1x = 31 + 0
-13 + 1x = 31

Add '13' to each side of the equation.
-13 + 13 + 1x = 31 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = 31 + 13
1x = 31 + 13

Combine like terms: 31 + 13 = 44
1x = 44

Divide each side by '1'.
x = 44

Simplifying
x = 44

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