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

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


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

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

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

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

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

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

Combine like terms: -10 + -5 = -15
-15 + x + x + 3x = 180

Combine like terms: x + x = 2x
-15 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
-15 + 5x = 180

Solving
-15 + 5x = 180

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 5x = 180 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 180 + 15
5x = 180 + 15

Combine like terms: 180 + 15 = 195
5x = 195

Divide each side by '5'.
x = 39

Simplifying
x = 39

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