180=(3x+10)+(4x-8)

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Solution for 180=(3x+10)+(4x-8) equation:


Simplifying
180 = (3x + 10) + (4x + -8)

Reorder the terms:
180 = (10 + 3x) + (4x + -8)

Remove parenthesis around (10 + 3x)
180 = 10 + 3x + (4x + -8)

Reorder the terms:
180 = 10 + 3x + (-8 + 4x)

Remove parenthesis around (-8 + 4x)
180 = 10 + 3x + -8 + 4x

Reorder the terms:
180 = 10 + -8 + 3x + 4x

Combine like terms: 10 + -8 = 2
180 = 2 + 3x + 4x

Combine like terms: 3x + 4x = 7x
180 = 2 + 7x

Solving
180 = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
180 + -7x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
180 + -7x = 2 + 0
180 + -7x = 2

Add '-180' to each side of the equation.
180 + -180 + -7x = 2 + -180

Combine like terms: 180 + -180 = 0
0 + -7x = 2 + -180
-7x = 2 + -180

Combine like terms: 2 + -180 = -178
-7x = -178

Divide each side by '-7'.
x = 25.42857143

Simplifying
x = 25.42857143

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