x-13=-3x+31

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Solution for x-13=-3x+31 equation:


Simplifying
x + -13 = -3x + 31

Reorder the terms:
-13 + x = -3x + 31

Reorder the terms:
-13 + x = 31 + -3x

Solving
-13 + x = 31 + -3x

Solving for variable 'x'.

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

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

Combine like terms: x + 3x = 4x
-13 + 4x = 31 + -3x + 3x

Combine like terms: -3x + 3x = 0
-13 + 4x = 31 + 0
-13 + 4x = 31

Add '13' to each side of the equation.
-13 + 13 + 4x = 31 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = 31 + 13
4x = 31 + 13

Combine like terms: 31 + 13 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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