0.5(2x+2)-0.75(3x-1)=15

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Solution for 0.5(2x+2)-0.75(3x-1)=15 equation:


Simplifying
0.5(2x + 2) + -0.75(3x + -1) = 15

Reorder the terms:
0.5(2 + 2x) + -0.75(3x + -1) = 15
(2 * 0.5 + 2x * 0.5) + -0.75(3x + -1) = 15
(1 + 1x) + -0.75(3x + -1) = 15

Reorder the terms:
1 + 1x + -0.75(-1 + 3x) = 15
1 + 1x + (-1 * -0.75 + 3x * -0.75) = 15
1 + 1x + (0.75 + -2.25x) = 15

Reorder the terms:
1 + 0.75 + 1x + -2.25x = 15

Combine like terms: 1 + 0.75 = 1.75
1.75 + 1x + -2.25x = 15

Combine like terms: 1x + -2.25x = -1.25x
1.75 + -1.25x = 15

Solving
1.75 + -1.25x = 15

Solving for variable 'x'.

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

Add '-1.75' to each side of the equation.
1.75 + -1.75 + -1.25x = 15 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -1.25x = 15 + -1.75
-1.25x = 15 + -1.75

Combine like terms: 15 + -1.75 = 13.25
-1.25x = 13.25

Divide each side by '-1.25'.
x = -10.6

Simplifying
x = -10.6

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