x+33=11x-13

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


Simplifying
x + 33 = 11x + -13

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

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

Solving
33 + x = -13 + 11x

Solving for variable 'x'.

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

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

Combine like terms: x + -11x = -10x
33 + -10x = -13 + 11x + -11x

Combine like terms: 11x + -11x = 0
33 + -10x = -13 + 0
33 + -10x = -13

Add '-33' to each side of the equation.
33 + -33 + -10x = -13 + -33

Combine like terms: 33 + -33 = 0
0 + -10x = -13 + -33
-10x = -13 + -33

Combine like terms: -13 + -33 = -46
-10x = -46

Divide each side by '-10'.
x = 4.6

Simplifying
x = 4.6

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