(x-10)+(4x-25)+(x+5)=180

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Solution for (x-10)+(4x-25)+(x+5)=180 equation:


Simplifying
(x + -10) + (4x + -25) + (x + 5) = 180

Reorder the terms:
(-10 + x) + (4x + -25) + (x + 5) = 180

Remove parenthesis around (-10 + x)
-10 + x + (4x + -25) + (x + 5) = 180

Reorder the terms:
-10 + x + (-25 + 4x) + (x + 5) = 180

Remove parenthesis around (-25 + 4x)
-10 + x + -25 + 4x + (x + 5) = 180

Reorder the terms:
-10 + x + -25 + 4x + (5 + x) = 180

Remove parenthesis around (5 + x)
-10 + x + -25 + 4x + 5 + x = 180

Reorder the terms:
-10 + -25 + 5 + x + 4x + x = 180

Combine like terms: -10 + -25 = -35
-35 + 5 + x + 4x + x = 180

Combine like terms: -35 + 5 = -30
-30 + x + 4x + x = 180

Combine like terms: x + 4x = 5x
-30 + 5x + x = 180

Combine like terms: 5x + x = 6x
-30 + 6x = 180

Solving
-30 + 6x = 180

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 6x = 180 + 30

Combine like terms: -30 + 30 = 0
0 + 6x = 180 + 30
6x = 180 + 30

Combine like terms: 180 + 30 = 210
6x = 210

Divide each side by '6'.
x = 35

Simplifying
x = 35

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