x+7-3x=5x+13

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Solution for x+7-3x=5x+13 equation:


Simplifying
x + 7 + -3x = 5x + 13

Reorder the terms:
7 + x + -3x = 5x + 13

Combine like terms: x + -3x = -2x
7 + -2x = 5x + 13

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

Solving
7 + -2x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
7 + -2x + -5x = 13 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
7 + -7x = 13 + 0
7 + -7x = 13

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

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

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

Divide each side by '-7'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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