2x+33=4x-16

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Solution for 2x+33=4x-16 equation:


Simplifying
2x + 33 = 4x + -16

Reorder the terms:
33 + 2x = 4x + -16

Reorder the terms:
33 + 2x = -16 + 4x

Solving
33 + 2x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
33 + 2x + -4x = -16 + 4x + -4x

Combine like terms: 2x + -4x = -2x
33 + -2x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
33 + -2x = -16 + 0
33 + -2x = -16

Add '-33' to each side of the equation.
33 + -33 + -2x = -16 + -33

Combine like terms: 33 + -33 = 0
0 + -2x = -16 + -33
-2x = -16 + -33

Combine like terms: -16 + -33 = -49
-2x = -49

Divide each side by '-2'.
x = 24.5

Simplifying
x = 24.5

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