0.5x+20=3x-85

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Solution for 0.5x+20=3x-85 equation:


Simplifying
0.5x + 20 = 3x + -85

Reorder the terms:
20 + 0.5x = 3x + -85

Reorder the terms:
20 + 0.5x = -85 + 3x

Solving
20 + 0.5x = -85 + 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.
20 + 0.5x + -3x = -85 + 3x + -3x

Combine like terms: 0.5x + -3x = -2.5x
20 + -2.5x = -85 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -2.5x = -85 + 0
20 + -2.5x = -85

Add '-20' to each side of the equation.
20 + -20 + -2.5x = -85 + -20

Combine like terms: 20 + -20 = 0
0 + -2.5x = -85 + -20
-2.5x = -85 + -20

Combine like terms: -85 + -20 = -105
-2.5x = -105

Divide each side by '-2.5'.
x = 42

Simplifying
x = 42

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