.5(3-8x)=20(1-.5x)

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Solution for .5(3-8x)=20(1-.5x) equation:


Simplifying
0.5(3 + -8x) = 20(1 + -0.5x)
(3 * 0.5 + -8x * 0.5) = 20(1 + -0.5x)
(1.5 + -4x) = 20(1 + -0.5x)
1.5 + -4x = (1 * 20 + -0.5x * 20)
1.5 + -4x = (20 + -10x)

Solving
1.5 + -4x = 20 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
1.5 + -4x + 10x = 20 + -10x + 10x

Combine like terms: -4x + 10x = 6x
1.5 + 6x = 20 + -10x + 10x

Combine like terms: -10x + 10x = 0
1.5 + 6x = 20 + 0
1.5 + 6x = 20

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 6x = 20 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 6x = 20 + -1.5
6x = 20 + -1.5

Combine like terms: 20 + -1.5 = 18.5
6x = 18.5

Divide each side by '6'.
x = 3.083333333

Simplifying
x = 3.083333333

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