0.5(3x-8)=20(0.5x-1)

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Solution for 0.5(3x-8)=20(0.5x-1) equation:


Simplifying
0.5(3x + -8) = 20(0.5x + -1)

Reorder the terms:
0.5(-8 + 3x) = 20(0.5x + -1)
(-8 * 0.5 + 3x * 0.5) = 20(0.5x + -1)
(-4 + 1.5x) = 20(0.5x + -1)

Reorder the terms:
-4 + 1.5x = 20(-1 + 0.5x)
-4 + 1.5x = (-1 * 20 + 0.5x * 20)
-4 + 1.5x = (-20 + 10x)

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

Combine like terms: 1.5x + -10x = -8.5x
-4 + -8.5x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-4 + -8.5x = -20 + 0
-4 + -8.5x = -20

Add '4' to each side of the equation.
-4 + 4 + -8.5x = -20 + 4

Combine like terms: -4 + 4 = 0
0 + -8.5x = -20 + 4
-8.5x = -20 + 4

Combine like terms: -20 + 4 = -16
-8.5x = -16

Divide each side by '-8.5'.
x = 1.882352941

Simplifying
x = 1.882352941

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