(x+10)+(x+20)=3x-20

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Solution for (x+10)+(x+20)=3x-20 equation:


Simplifying
(x + 10) + (x + 20) = 3x + -20

Reorder the terms:
(10 + x) + (x + 20) = 3x + -20

Remove parenthesis around (10 + x)
10 + x + (x + 20) = 3x + -20

Reorder the terms:
10 + x + (20 + x) = 3x + -20

Remove parenthesis around (20 + x)
10 + x + 20 + x = 3x + -20

Reorder the terms:
10 + 20 + x + x = 3x + -20

Combine like terms: 10 + 20 = 30
30 + x + x = 3x + -20

Combine like terms: x + x = 2x
30 + 2x = 3x + -20

Reorder the terms:
30 + 2x = -20 + 3x

Solving
30 + 2x = -20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + 2x + -3x = -20 + 3x + -3x

Combine like terms: 2x + -3x = -1x
30 + -1x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + -1x = -20 + 0
30 + -1x = -20

Add '-30' to each side of the equation.
30 + -30 + -1x = -20 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = -20 + -30
-1x = -20 + -30

Combine like terms: -20 + -30 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50

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