5x+10=2x-13

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Solution for 5x+10=2x-13 equation:


Simplifying
5x + 10 = 2x + -13

Reorder the terms:
10 + 5x = 2x + -13

Reorder the terms:
10 + 5x = -13 + 2x

Solving
10 + 5x = -13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 5x + -2x = -13 + 2x + -2x

Combine like terms: 5x + -2x = 3x
10 + 3x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 3x = -13 + 0
10 + 3x = -13

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

Combine like terms: 10 + -10 = 0
0 + 3x = -13 + -10
3x = -13 + -10

Combine like terms: -13 + -10 = -23
3x = -23

Divide each side by '3'.
x = -7.666666667

Simplifying
x = -7.666666667

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