10x-80=x+100

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Solution for 10x-80=x+100 equation:


Simplifying
10x + -80 = x + 100

Reorder the terms:
-80 + 10x = x + 100

Reorder the terms:
-80 + 10x = 100 + x

Solving
-80 + 10x = 100 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-80 + 10x + -1x = 100 + x + -1x

Combine like terms: 10x + -1x = 9x
-80 + 9x = 100 + x + -1x

Combine like terms: x + -1x = 0
-80 + 9x = 100 + 0
-80 + 9x = 100

Add '80' to each side of the equation.
-80 + 80 + 9x = 100 + 80

Combine like terms: -80 + 80 = 0
0 + 9x = 100 + 80
9x = 100 + 80

Combine like terms: 100 + 80 = 180
9x = 180

Divide each side by '9'.
x = 20

Simplifying
x = 20

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