2x-15=5x-2

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Solution for 2x-15=5x-2 equation:


Simplifying
2x + -15 = 5x + -2

Reorder the terms:
-15 + 2x = 5x + -2

Reorder the terms:
-15 + 2x = -2 + 5x

Solving
-15 + 2x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-15 + 2x + -5x = -2 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-15 + -3x = -2 + 5x + -5x

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

Divide each side by '-3'.
x = -4.333333333

Simplifying
x = -4.333333333

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