x+20=x-10+x-20

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Solution for x+20=x-10+x-20 equation:


Simplifying
x + 20 = x + -10 + x + -20

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

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

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

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

Solving
20 + x = -30 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
20 + -1x = -30 + 0
20 + -1x = -30

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

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

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

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

Simplifying
x = 50

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