2x-11=13-3x+6

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Solution for 2x-11=13-3x+6 equation:


Simplifying
2x + -11 = 13 + -3x + 6

Reorder the terms:
-11 + 2x = 13 + -3x + 6

Reorder the terms:
-11 + 2x = 13 + 6 + -3x

Combine like terms: 13 + 6 = 19
-11 + 2x = 19 + -3x

Solving
-11 + 2x = 19 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-11 + 2x + 3x = 19 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-11 + 5x = 19 + -3x + 3x

Combine like terms: -3x + 3x = 0
-11 + 5x = 19 + 0
-11 + 5x = 19

Add '11' to each side of the equation.
-11 + 11 + 5x = 19 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 19 + 11
5x = 19 + 11

Combine like terms: 19 + 11 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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