.5(8x-20)=.25(12x+32)

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Solution for .5(8x-20)=.25(12x+32) equation:


Simplifying
0.5(8x + -20) = 0.25(12x + 32)

Reorder the terms:
0.5(-20 + 8x) = 0.25(12x + 32)
(-20 * 0.5 + 8x * 0.5) = 0.25(12x + 32)
(-10 + 4x) = 0.25(12x + 32)

Reorder the terms:
-10 + 4x = 0.25(32 + 12x)
-10 + 4x = (32 * 0.25 + 12x * 0.25)
-10 + 4x = (8 + 3x)

Solving
-10 + 4x = 8 + 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.
-10 + 4x + -3x = 8 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-10 + 1x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 1x = 8 + 0
-10 + 1x = 8

Add '10' to each side of the equation.
-10 + 10 + 1x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 8 + 10
1x = 8 + 10

Combine like terms: 8 + 10 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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