.5(x-7)=.25(x+20)

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Solution for .5(x-7)=.25(x+20) equation: 


Simplifying
0.5(x + -7) = 0.25(x + 20)

Reorder the terms:
0.5(-7 + x) = 0.25(x + 20)
(-7 * 0.5 + x * 0.5) = 0.25(x + 20)
(-3.5 + 0.5x) = 0.25(x + 20)

Reorder the terms:
-3.5 + 0.5x = 0.25(20 + x)
-3.5 + 0.5x = (20 * 0.25 + x * 0.25)
-3.5 + 0.5x = (5 + 0.25x)

Solving
-3.5 + 0.5x = 5 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
-3.5 + 0.5x + -0.25x = 5 + 0.25x + -0.25x

Combine like terms: 0.5x + -0.25x = 0.25x
-3.5 + 0.25x = 5 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
-3.5 + 0.25x = 5 + 0.00
-3.5 + 0.25x = 5

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 0.25x = 5 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 0.25x = 5 + 3.5
0.25x = 5 + 3.5

Combine like terms: 5 + 3.5 = 8.5
0.25x = 8.5

Divide each side by '0.25'.
x = 34

Simplifying
x = 34

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