x+13+2x-4=6x-15

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Solution for x+13+2x-4=6x-15 equation:


Simplifying
x + 13 + 2x + -4 = 6x + -15

Reorder the terms:
13 + -4 + x + 2x = 6x + -15

Combine like terms: 13 + -4 = 9
9 + x + 2x = 6x + -15

Combine like terms: x + 2x = 3x
9 + 3x = 6x + -15

Reorder the terms:
9 + 3x = -15 + 6x

Solving
9 + 3x = -15 + 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.
9 + 3x + -6x = -15 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
9 + -3x = -15 + 0
9 + -3x = -15

Add '-9' to each side of the equation.
9 + -9 + -3x = -15 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -15 + -9
-3x = -15 + -9

Combine like terms: -15 + -9 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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