180=(2x+41)+(6x-3)

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Solution for 180=(2x+41)+(6x-3) equation:


Simplifying
180 = (2x + 41) + (6x + -3)

Reorder the terms:
180 = (41 + 2x) + (6x + -3)

Remove parenthesis around (41 + 2x)
180 = 41 + 2x + (6x + -3)

Reorder the terms:
180 = 41 + 2x + (-3 + 6x)

Remove parenthesis around (-3 + 6x)
180 = 41 + 2x + -3 + 6x

Reorder the terms:
180 = 41 + -3 + 2x + 6x

Combine like terms: 41 + -3 = 38
180 = 38 + 2x + 6x

Combine like terms: 2x + 6x = 8x
180 = 38 + 8x

Solving
180 = 38 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
180 + -8x = 38 + 8x + -8x

Combine like terms: 8x + -8x = 0
180 + -8x = 38 + 0
180 + -8x = 38

Add '-180' to each side of the equation.
180 + -180 + -8x = 38 + -180

Combine like terms: 180 + -180 = 0
0 + -8x = 38 + -180
-8x = 38 + -180

Combine like terms: 38 + -180 = -142
-8x = -142

Divide each side by '-8'.
x = 17.75

Simplifying
x = 17.75

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