5x-15=2x-6

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Solution for 5x-15=2x-6 equation:


Simplifying
5x + -15 = 2x + -6

Reorder the terms:
-15 + 5x = 2x + -6

Reorder the terms:
-15 + 5x = -6 + 2x

Solving
-15 + 5x = -6 + 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.
-15 + 5x + -2x = -6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-15 + 3x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 3x = -6 + 0
-15 + 3x = -6

Add '15' to each side of the equation.
-15 + 15 + 3x = -6 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = -6 + 15
3x = -6 + 15

Combine like terms: -6 + 15 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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