x+(2x-20)+(x+10)=270

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Solution for x+(2x-20)+(x+10)=270 equation:


Simplifying
x + (2x + -20) + (x + 10) = 270

Reorder the terms:
x + (-20 + 2x) + (x + 10) = 270

Remove parenthesis around (-20 + 2x)
x + -20 + 2x + (x + 10) = 270

Reorder the terms:
x + -20 + 2x + (10 + x) = 270

Remove parenthesis around (10 + x)
x + -20 + 2x + 10 + x = 270

Reorder the terms:
-20 + 10 + x + 2x + x = 270

Combine like terms: -20 + 10 = -10
-10 + x + 2x + x = 270

Combine like terms: x + 2x = 3x
-10 + 3x + x = 270

Combine like terms: 3x + x = 4x
-10 + 4x = 270

Solving
-10 + 4x = 270

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 4x = 270 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 270 + 10
4x = 270 + 10

Combine like terms: 270 + 10 = 280
4x = 280

Divide each side by '4'.
x = 70

Simplifying
x = 70

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