180=(3x-5)+(4x+10)

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Solution for 180=(3x-5)+(4x+10) equation:


Simplifying
180 = (3x + -5) + (4x + 10)

Reorder the terms:
180 = (-5 + 3x) + (4x + 10)

Remove parenthesis around (-5 + 3x)
180 = -5 + 3x + (4x + 10)

Reorder the terms:
180 = -5 + 3x + (10 + 4x)

Remove parenthesis around (10 + 4x)
180 = -5 + 3x + 10 + 4x

Reorder the terms:
180 = -5 + 10 + 3x + 4x

Combine like terms: -5 + 10 = 5
180 = 5 + 3x + 4x

Combine like terms: 3x + 4x = 7x
180 = 5 + 7x

Solving
180 = 5 + 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 = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
180 + -7x = 5 + 0
180 + -7x = 5

Add '-180' to each side of the equation.
180 + -180 + -7x = 5 + -180

Combine like terms: 180 + -180 = 0
0 + -7x = 5 + -180
-7x = 5 + -180

Combine like terms: 5 + -180 = -175
-7x = -175

Divide each side by '-7'.
x = 25

Simplifying
x = 25

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