10x-15=13x+2

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Solution for 10x-15=13x+2 equation:


Simplifying
10x + -15 = 13x + 2

Reorder the terms:
-15 + 10x = 13x + 2

Reorder the terms:
-15 + 10x = 2 + 13x

Solving
-15 + 10x = 2 + 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 = 2 + 13x + -13x

Combine like terms: 10x + -13x = -3x
-15 + -3x = 2 + 13x + -13x

Combine like terms: 13x + -13x = 0
-15 + -3x = 2 + 0
-15 + -3x = 2

Add '15' to each side of the equation.
-15 + 15 + -3x = 2 + 15

Combine like terms: -15 + 15 = 0
0 + -3x = 2 + 15
-3x = 2 + 15

Combine like terms: 2 + 15 = 17
-3x = 17

Divide each side by '-3'.
x = -5.666666667

Simplifying
x = -5.666666667

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