5x+15=6x-13

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Solution for 5x+15=6x-13 equation:


Simplifying
5x + 15 = 6x + -13

Reorder the terms:
15 + 5x = 6x + -13

Reorder the terms:
15 + 5x = -13 + 6x

Solving
15 + 5x = -13 + 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 + 5x + -6x = -13 + 6x + -6x

Combine like terms: 5x + -6x = -1x
15 + -1x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -1x = -13 + 0
15 + -1x = -13

Add '-15' to each side of the equation.
15 + -15 + -1x = -13 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -13 + -15
-1x = -13 + -15

Combine like terms: -13 + -15 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

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