7x-8+3x=5x-13

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Solution for 7x-8+3x=5x-13 equation:


Simplifying
7x + -8 + 3x = 5x + -13

Reorder the terms:
-8 + 7x + 3x = 5x + -13

Combine like terms: 7x + 3x = 10x
-8 + 10x = 5x + -13

Reorder the terms:
-8 + 10x = -13 + 5x

Solving
-8 + 10x = -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.
-8 + 10x + -5x = -13 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-8 + 5x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 5x = -13 + 0
-8 + 5x = -13

Add '8' to each side of the equation.
-8 + 8 + 5x = -13 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -13 + 8
5x = -13 + 8

Combine like terms: -13 + 8 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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