2x+7=5-x-13

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Solution for 2x+7=5-x-13 equation:


Simplifying
2x + 7 = 5 + -1x + -13

Reorder the terms:
7 + 2x = 5 + -1x + -13

Reorder the terms:
7 + 2x = 5 + -13 + -1x

Combine like terms: 5 + -13 = -8
7 + 2x = -8 + -1x

Solving
7 + 2x = -8 + -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 = -8 + -1x + x

Combine like terms: 2x + x = 3x
7 + 3x = -8 + -1x + x

Combine like terms: -1x + x = 0
7 + 3x = -8 + 0
7 + 3x = -8

Add '-7' to each side of the equation.
7 + -7 + 3x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = -8 + -7
3x = -8 + -7

Combine like terms: -8 + -7 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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