2x+11=13x-33

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Solution for 2x+11=13x-33 equation:


Simplifying
2x + 11 = 13x + -33

Reorder the terms:
11 + 2x = 13x + -33

Reorder the terms:
11 + 2x = -33 + 13x

Solving
11 + 2x = -33 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
11 + 2x + -13x = -33 + 13x + -13x

Combine like terms: 2x + -13x = -11x
11 + -11x = -33 + 13x + -13x

Combine like terms: 13x + -13x = 0
11 + -11x = -33 + 0
11 + -11x = -33

Add '-11' to each side of the equation.
11 + -11 + -11x = -33 + -11

Combine like terms: 11 + -11 = 0
0 + -11x = -33 + -11
-11x = -33 + -11

Combine like terms: -33 + -11 = -44
-11x = -44

Divide each side by '-11'.
x = 4

Simplifying
x = 4

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