3x-2=33-4x

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Solution for 3x-2=33-4x equation:


Simplifying
3x + -2 = 33 + -4x

Reorder the terms:
-2 + 3x = 33 + -4x

Solving
-2 + 3x = 33 + -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.
-2 + 3x + 4x = 33 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-2 + 7x = 33 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 7x = 33 + 0
-2 + 7x = 33

Add '2' to each side of the equation.
-2 + 2 + 7x = 33 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 33 + 2
7x = 33 + 2

Combine like terms: 33 + 2 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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