.5x-(.25)(5x+7)=6-1.5x

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Solution for .5x-(.25)(5x+7)=6-1.5x equation:


Simplifying
0.5x + -1(0.25)(5x + 7) = 6 + -1.5x

Reorder the terms:
0.5x + -1 * 0.25(7 + 5x) = 6 + -1.5x

Multiply -1 * 0.25
0.5x + -0.25(7 + 5x) = 6 + -1.5x
0.5x + (7 * -0.25 + 5x * -0.25) = 6 + -1.5x
0.5x + (-1.75 + -1.25x) = 6 + -1.5x

Reorder the terms:
-1.75 + 0.5x + -1.25x = 6 + -1.5x

Combine like terms: 0.5x + -1.25x = -0.75x
-1.75 + -0.75x = 6 + -1.5x

Solving
-1.75 + -0.75x = 6 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
-1.75 + -0.75x + 1.5x = 6 + -1.5x + 1.5x

Combine like terms: -0.75x + 1.5x = 0.75x
-1.75 + 0.75x = 6 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
-1.75 + 0.75x = 6 + 0.0
-1.75 + 0.75x = 6

Add '1.75' to each side of the equation.
-1.75 + 1.75 + 0.75x = 6 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + 0.75x = 6 + 1.75
0.75x = 6 + 1.75

Combine like terms: 6 + 1.75 = 7.75
0.75x = 7.75

Divide each side by '0.75'.
x = 10.33333333

Simplifying
x = 10.33333333

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