10x+13=3x-8

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Solution for 10x+13=3x-8 equation:


Simplifying
10x + 13 = 3x + -8

Reorder the terms:
13 + 10x = 3x + -8

Reorder the terms:
13 + 10x = -8 + 3x

Solving
13 + 10x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13 + 10x + -3x = -8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
13 + 7x = -8 + 0
13 + 7x = -8

Add '-13' to each side of the equation.
13 + -13 + 7x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + 7x = -8 + -13
7x = -8 + -13

Combine like terms: -8 + -13 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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