3x+15=6x-2

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Solution for 3x+15=6x-2 equation:


Simplifying
3x + 15 = 6x + -2

Reorder the terms:
15 + 3x = 6x + -2

Reorder the terms:
15 + 3x = -2 + 6x

Solving
15 + 3x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 3x + -6x = -2 + 6x + -6x

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

Combine like terms: 6x + -6x = 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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