.25(20x+32)-14=-.50(14x-18)

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Solution for .25(20x+32)-14=-.50(14x-18) equation:


Simplifying
0.25(20x + 32) + -14 = -0.50(14x + -18)

Reorder the terms:
0.25(32 + 20x) + -14 = -0.50(14x + -18)
(32 * 0.25 + 20x * 0.25) + -14 = -0.50(14x + -18)
(8 + 5x) + -14 = -0.50(14x + -18)

Reorder the terms:
8 + -14 + 5x = -0.50(14x + -18)

Combine like terms: 8 + -14 = -6
-6 + 5x = -0.50(14x + -18)

Reorder the terms:
-6 + 5x = -0.50(-18 + 14x)
-6 + 5x = (-18 * -0.50 + 14x * -0.50)
-6 + 5x = (9 + -7x)

Solving
-6 + 5x = 9 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-6 + 5x + 7x = 9 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-6 + 12x = 9 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + 12x = 9 + 0
-6 + 12x = 9

Add '6' to each side of the equation.
-6 + 6 + 12x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 9 + 6
12x = 9 + 6

Combine like terms: 9 + 6 = 15
12x = 15

Divide each side by '12'.
x = 1.25

Simplifying
x = 1.25

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