0.5(2x+2)-.25(3x-1)=15

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Solution for 0.5(2x+2)-.25(3x-1)=15 equation: 


Simplifying
0.5(2x + 2) + -0.25(3x + -1) = 15

Reorder the terms:
0.5(2 + 2x) + -0.25(3x + -1) = 15
(2 * 0.5 + 2x * 0.5) + -0.25(3x + -1) = 15
(1 + 1x) + -0.25(3x + -1) = 15

Reorder the terms:
1 + 1x + -0.25(-1 + 3x) = 15
1 + 1x + (-1 * -0.25 + 3x * -0.25) = 15
1 + 1x + (0.25 + -0.75x) = 15

Reorder the terms:
1 + 0.25 + 1x + -0.75x = 15

Combine like terms: 1 + 0.25 = 1.25
1.25 + 1x + -0.75x = 15

Combine like terms: 1x + -0.75x = 0.25x
1.25 + 0.25x = 15

Solving
1.25 + 0.25x = 15

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 = 15 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 0.25x = 15 + -1.25
0.25x = 15 + -1.25

Combine like terms: 15 + -1.25 = 13.75
0.25x = 13.75

Divide each side by '0.25'.
x = 55

Simplifying
x = 55

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