x+13-3x=2x-11

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Solution for x+13-3x=2x-11 equation:


Simplifying
x + 13 + -3x = 2x + -11

Reorder the terms:
13 + x + -3x = 2x + -11

Combine like terms: x + -3x = -2x
13 + -2x = 2x + -11

Reorder the terms:
13 + -2x = -11 + 2x

Solving
13 + -2x = -11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
13 + -2x + -2x = -11 + 2x + -2x

Combine like terms: -2x + -2x = -4x
13 + -4x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -4x = -11 + 0
13 + -4x = -11

Add '-13' to each side of the equation.
13 + -13 + -4x = -11 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = -11 + -13
-4x = -11 + -13

Combine like terms: -11 + -13 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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