.5(x-3)=.25(x+1)

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Solution for .5(x-3)=.25(x+1) equation:


Simplifying
0.5(x + -3) = 0.25(x + 1)

Reorder the terms:
0.5(-3 + x) = 0.25(x + 1)
(-3 * 0.5 + x * 0.5) = 0.25(x + 1)
(-1.5 + 0.5x) = 0.25(x + 1)

Reorder the terms:
-1.5 + 0.5x = 0.25(1 + x)
-1.5 + 0.5x = (1 * 0.25 + x * 0.25)
-1.5 + 0.5x = (0.25 + 0.25x)

Solving
-1.5 + 0.5x = 0.25 + 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.
-1.5 + 0.5x + -0.25x = 0.25 + 0.25x + -0.25x

Combine like terms: 0.5x + -0.25x = 0.25x
-1.5 + 0.25x = 0.25 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
-1.5 + 0.25x = 0.25 + 0.00
-1.5 + 0.25x = 0.25

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.25x = 0.25 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.25x = 0.25 + 1.5
0.25x = 0.25 + 1.5

Combine like terms: 0.25 + 1.5 = 1.75
0.25x = 1.75

Divide each side by '0.25'.
x = 7

Simplifying
x = 7

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