(x+10)+(4x-35)=180

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Solution for (x+10)+(4x-35)=180 equation:


Simplifying
(x + 10) + (4x + -35) = 180

Reorder the terms:
(10 + x) + (4x + -35) = 180

Remove parenthesis around (10 + x)
10 + x + (4x + -35) = 180

Reorder the terms:
10 + x + (-35 + 4x) = 180

Remove parenthesis around (-35 + 4x)
10 + x + -35 + 4x = 180

Reorder the terms:
10 + -35 + x + 4x = 180

Combine like terms: 10 + -35 = -25
-25 + x + 4x = 180

Combine like terms: x + 4x = 5x
-25 + 5x = 180

Solving
-25 + 5x = 180

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 5x = 180 + 25

Combine like terms: -25 + 25 = 0
0 + 5x = 180 + 25
5x = 180 + 25

Combine like terms: 180 + 25 = 205
5x = 205

Divide each side by '5'.
x = 41

Simplifying
x = 41

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