(2x+20)=(6x-10)*.5

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Solution for (2x+20)=(6x-10)*.5 equation:


Simplifying
(2x + 20) = (6x + -10) * 0.5

Reorder the terms:
(20 + 2x) = (6x + -10) * 0.5

Remove parenthesis around (20 + 2x)
20 + 2x = (6x + -10) * 0.5

Reorder the terms:
20 + 2x = (-10 + 6x) * 0.5

Reorder the terms for easier multiplication:
20 + 2x = 0.5(-10 + 6x)
20 + 2x = (-10 * 0.5 + 6x * 0.5)
20 + 2x = (-5 + 3x)

Solving
20 + 2x = -5 + 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 + 2x + -3x = -5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
20 + -1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -1x = -5 + 0
20 + -1x = -5

Add '-20' to each side of the equation.
20 + -20 + -1x = -5 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -5 + -20
-1x = -5 + -20

Combine like terms: -5 + -20 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25

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