5x+15=11x-2

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Solution for 5x+15=11x-2 equation:


Simplifying
5x + 15 = 11x + -2

Reorder the terms:
15 + 5x = 11x + -2

Reorder the terms:
15 + 5x = -2 + 11x

Solving
15 + 5x = -2 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
15 + 5x + -11x = -2 + 11x + -11x

Combine like terms: 5x + -11x = -6x
15 + -6x = -2 + 11x + -11x

Combine like terms: 11x + -11x = 0
15 + -6x = -2 + 0
15 + -6x = -2

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

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

Combine like terms: -2 + -15 = -17
-6x = -17

Divide each side by '-6'.
x = 2.833333333

Simplifying
x = 2.833333333

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