2x+8=78-33x

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Solution for 2x+8=78-33x equation:


Simplifying
2x + 8 = 78 + -33x

Reorder the terms:
8 + 2x = 78 + -33x

Solving
8 + 2x = 78 + -33x

Solving for variable 'x'.

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

Add '33x' to each side of the equation.
8 + 2x + 33x = 78 + -33x + 33x

Combine like terms: 2x + 33x = 35x
8 + 35x = 78 + -33x + 33x

Combine like terms: -33x + 33x = 0
8 + 35x = 78 + 0
8 + 35x = 78

Add '-8' to each side of the equation.
8 + -8 + 35x = 78 + -8

Combine like terms: 8 + -8 = 0
0 + 35x = 78 + -8
35x = 78 + -8

Combine like terms: 78 + -8 = 70
35x = 70

Divide each side by '35'.
x = 2

Simplifying
x = 2

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