(6x-74)+(2x+40)=180

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Solution for (6x-74)+(2x+40)=180 equation:


Simplifying
(6x + -74) + (2x + 40) = 180

Reorder the terms:
(-74 + 6x) + (2x + 40) = 180

Remove parenthesis around (-74 + 6x)
-74 + 6x + (2x + 40) = 180

Reorder the terms:
-74 + 6x + (40 + 2x) = 180

Remove parenthesis around (40 + 2x)
-74 + 6x + 40 + 2x = 180

Reorder the terms:
-74 + 40 + 6x + 2x = 180

Combine like terms: -74 + 40 = -34
-34 + 6x + 2x = 180

Combine like terms: 6x + 2x = 8x
-34 + 8x = 180

Solving
-34 + 8x = 180

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 8x = 180 + 34

Combine like terms: -34 + 34 = 0
0 + 8x = 180 + 34
8x = 180 + 34

Combine like terms: 180 + 34 = 214
8x = 214

Divide each side by '8'.
x = 26.75

Simplifying
x = 26.75

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