10x+15=3x-13

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Solution for 10x+15=3x-13 equation:


Simplifying
10x + 15 = 3x + -13

Reorder the terms:
15 + 10x = 3x + -13

Reorder the terms:
15 + 10x = -13 + 3x

Solving
15 + 10x = -13 + 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.
15 + 10x + -3x = -13 + 3x + -3x

Combine like terms: 10x + -3x = 7x
15 + 7x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + 7x = -13 + 0
15 + 7x = -13

Add '-15' to each side of the equation.
15 + -15 + 7x = -13 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = -13 + -15
7x = -13 + -15

Combine like terms: -13 + -15 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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