80+1x=20+3(x-20)

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Solution for 80+1x=20+3(x-20) equation:


Simplifying
80 + 1x = 20 + 3(x + -20)

Reorder the terms:
80 + 1x = 20 + 3(-20 + x)
80 + 1x = 20 + (-20 * 3 + x * 3)
80 + 1x = 20 + (-60 + 3x)

Combine like terms: 20 + -60 = -40
80 + 1x = -40 + 3x

Solving
80 + 1x = -40 + 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 = -40 + 3x + -3x

Combine like terms: 1x + -3x = -2x
80 + -2x = -40 + 3x + -3x

Combine like terms: 3x + -3x = 0
80 + -2x = -40 + 0
80 + -2x = -40

Add '-80' to each side of the equation.
80 + -80 + -2x = -40 + -80

Combine like terms: 80 + -80 = 0
0 + -2x = -40 + -80
-2x = -40 + -80

Combine like terms: -40 + -80 = -120
-2x = -120

Divide each side by '-2'.
x = 60

Simplifying
x = 60

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