-4x+33=7x-44

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Solution for -4x+33=7x-44 equation:


Simplifying
-4x + 33 = 7x + -44

Reorder the terms:
33 + -4x = 7x + -44

Reorder the terms:
33 + -4x = -44 + 7x

Solving
33 + -4x = -44 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
33 + -4x + -7x = -44 + 7x + -7x

Combine like terms: -4x + -7x = -11x
33 + -11x = -44 + 7x + -7x

Combine like terms: 7x + -7x = 0
33 + -11x = -44 + 0
33 + -11x = -44

Add '-33' to each side of the equation.
33 + -33 + -11x = -44 + -33

Combine like terms: 33 + -33 = 0
0 + -11x = -44 + -33
-11x = -44 + -33

Combine like terms: -44 + -33 = -77
-11x = -77

Divide each side by '-11'.
x = 7

Simplifying
x = 7

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