80-x=3(90-x)+10

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Solution for 80-x=3(90-x)+10 equation:


Simplifying
80 + -1x = 3(90 + -1x) + 10
80 + -1x = (90 * 3 + -1x * 3) + 10
80 + -1x = (270 + -3x) + 10

Reorder the terms:
80 + -1x = 270 + 10 + -3x

Combine like terms: 270 + 10 = 280
80 + -1x = 280 + -3x

Solving
80 + -1x = 280 + -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.
80 + -1x + 3x = 280 + -3x + 3x

Combine like terms: -1x + 3x = 2x
80 + 2x = 280 + -3x + 3x

Combine like terms: -3x + 3x = 0
80 + 2x = 280 + 0
80 + 2x = 280

Add '-80' to each side of the equation.
80 + -80 + 2x = 280 + -80

Combine like terms: 80 + -80 = 0
0 + 2x = 280 + -80
2x = 280 + -80

Combine like terms: 280 + -80 = 200
2x = 200

Divide each side by '2'.
x = 100

Simplifying
x = 100

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