6x-13+7x=31-x-2

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Solution for 6x-13+7x=31-x-2 equation:


Simplifying
6x + -13 + 7x = 31 + -1x + -2

Reorder the terms:
-13 + 6x + 7x = 31 + -1x + -2

Combine like terms: 6x + 7x = 13x
-13 + 13x = 31 + -1x + -2

Reorder the terms:
-13 + 13x = 31 + -2 + -1x

Combine like terms: 31 + -2 = 29
-13 + 13x = 29 + -1x

Solving
-13 + 13x = 29 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-13 + 13x + x = 29 + -1x + x

Combine like terms: 13x + x = 14x
-13 + 14x = 29 + -1x + x

Combine like terms: -1x + x = 0
-13 + 14x = 29 + 0
-13 + 14x = 29

Add '13' to each side of the equation.
-13 + 13 + 14x = 29 + 13

Combine like terms: -13 + 13 = 0
0 + 14x = 29 + 13
14x = 29 + 13

Combine like terms: 29 + 13 = 42
14x = 42

Divide each side by '14'.
x = 3

Simplifying
x = 3

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