2x+7=13-x

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


Simplifying
2x + 7 = 13 + -1x

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

Solving
7 + 2x = 13 + -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.
7 + 2x + x = 13 + -1x + x

Combine like terms: 2x + x = 3x
7 + 3x = 13 + -1x + x

Combine like terms: -1x + x = 0
7 + 3x = 13 + 0
7 + 3x = 13

Add '-7' to each side of the equation.
7 + -7 + 3x = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 13 + -7
3x = 13 + -7

Combine like terms: 13 + -7 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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