10x+15=13x-10

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


Simplifying
10x + 15 = 13x + -10

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

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

Solving
15 + 10x = -10 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
15 + 10x + -13x = -10 + 13x + -13x

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

Combine like terms: 13x + -13x = 0
15 + -3x = -10 + 0
15 + -3x = -10

Add '-15' to each side of the equation.
15 + -15 + -3x = -10 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = -10 + -15
-3x = -10 + -15

Combine like terms: -10 + -15 = -25
-3x = -25

Divide each side by '-3'.
x = 8.333333333

Simplifying
x = 8.333333333

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