x-2+x+6+3x-78=180

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Solution for x-2+x+6+3x-78=180 equation: 


Simplifying
x + -2 + x + 6 + 3x + -78 = 180

Reorder the terms:
-2 + 6 + -78 + x + x + 3x = 180

Combine like terms: -2 + 6 = 4
4 + -78 + x + x + 3x = 180

Combine like terms: 4 + -78 = -74
-74 + x + x + 3x = 180

Combine like terms: x + x = 2x
-74 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
-74 + 5x = 180

Solving
-74 + 5x = 180

Solving for variable 'x'.

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

Add '74' to each side of the equation.
-74 + 74 + 5x = 180 + 74

Combine like terms: -74 + 74 = 0
0 + 5x = 180 + 74
5x = 180 + 74

Combine like terms: 180 + 74 = 254
5x = 254

Divide each side by '5'.
x = 50.8

Simplifying
x = 50.8

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