0.5(x-1)-0.25(x+3)=12

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Solution for 0.5(x-1)-0.25(x+3)=12 equation: 


Simplifying
0.5(x + -1) + -0.25(x + 3) = 12

Reorder the terms:
0.5(-1 + x) + -0.25(x + 3) = 12
(-1 * 0.5 + x * 0.5) + -0.25(x + 3) = 12
(-0.5 + 0.5x) + -0.25(x + 3) = 12

Reorder the terms:
-0.5 + 0.5x + -0.25(3 + x) = 12
-0.5 + 0.5x + (3 * -0.25 + x * -0.25) = 12
-0.5 + 0.5x + (-0.75 + -0.25x) = 12

Reorder the terms:
-0.5 + -0.75 + 0.5x + -0.25x = 12

Combine like terms: -0.5 + -0.75 = -1.25
-1.25 + 0.5x + -0.25x = 12

Combine like terms: 0.5x + -0.25x = 0.25x
-1.25 + 0.25x = 12

Solving
-1.25 + 0.25x = 12

Solving for variable 'x'.

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

Add '1.25' to each side of the equation.
-1.25 + 1.25 + 0.25x = 12 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + 0.25x = 12 + 1.25
0.25x = 12 + 1.25

Combine like terms: 12 + 1.25 = 13.25
0.25x = 13.25

Divide each side by '0.25'.
x = 53

Simplifying
x = 53

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