4x+33=14x-78

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Solution for 4x+33=14x-78 equation:


Simplifying
4x + 33 = 14x + -78

Reorder the terms:
33 + 4x = 14x + -78

Reorder the terms:
33 + 4x = -78 + 14x

Solving
33 + 4x = -78 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
33 + 4x + -14x = -78 + 14x + -14x

Combine like terms: 4x + -14x = -10x
33 + -10x = -78 + 14x + -14x

Combine like terms: 14x + -14x = 0
33 + -10x = -78 + 0
33 + -10x = -78

Add '-33' to each side of the equation.
33 + -33 + -10x = -78 + -33

Combine like terms: 33 + -33 = 0
0 + -10x = -78 + -33
-10x = -78 + -33

Combine like terms: -78 + -33 = -111
-10x = -111

Divide each side by '-10'.
x = 11.1

Simplifying
x = 11.1

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