3x-2=78-x

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Solution for 3x-2=78-x equation:


Simplifying
3x + -2 = 78 + -1x

Reorder the terms:
-2 + 3x = 78 + -1x

Solving
-2 + 3x = 78 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 3x + x = 78 + -1x + x

Combine like terms: 3x + x = 4x
-2 + 4x = 78 + -1x + x

Combine like terms: -1x + x = 0
-2 + 4x = 78 + 0
-2 + 4x = 78

Add '2' to each side of the equation.
-2 + 2 + 4x = 78 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 78 + 2
4x = 78 + 2

Combine like terms: 78 + 2 = 80
4x = 80

Divide each side by '4'.
x = 20

Simplifying
x = 20

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