7x+33=11x-21

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Solution for 7x+33=11x-21 equation:


Simplifying
7x + 33 = 11x + -21

Reorder the terms:
33 + 7x = 11x + -21

Reorder the terms:
33 + 7x = -21 + 11x

Solving
33 + 7x = -21 + 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 + 7x + -11x = -21 + 11x + -11x

Combine like terms: 7x + -11x = -4x
33 + -4x = -21 + 11x + -11x

Combine like terms: 11x + -11x = 0
33 + -4x = -21 + 0
33 + -4x = -21

Add '-33' to each side of the equation.
33 + -33 + -4x = -21 + -33

Combine like terms: 33 + -33 = 0
0 + -4x = -21 + -33
-4x = -21 + -33

Combine like terms: -21 + -33 = -54
-4x = -54

Divide each side by '-4'.
x = 13.5

Simplifying
x = 13.5

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