2x+13=6x-23

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Solution for 2x+13=6x-23 equation:


Simplifying
2x + 13 = 6x + -23

Reorder the terms:
13 + 2x = 6x + -23

Reorder the terms:
13 + 2x = -23 + 6x

Solving
13 + 2x = -23 + 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.
13 + 2x + -6x = -23 + 6x + -6x

Combine like terms: 2x + -6x = -4x
13 + -4x = -23 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + -4x = -23 + 0
13 + -4x = -23

Add '-13' to each side of the equation.
13 + -13 + -4x = -23 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = -23 + -13
-4x = -23 + -13

Combine like terms: -23 + -13 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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