.75(20x+28)-10=-.50(12x-10)

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Solution for .75(20x+28)-10=-.50(12x-10) equation:


Simplifying
0.75(20x + 28) + -10 = -0.50(12x + -10)

Reorder the terms:
0.75(28 + 20x) + -10 = -0.50(12x + -10)
(28 * 0.75 + 20x * 0.75) + -10 = -0.50(12x + -10)
(21 + 15x) + -10 = -0.50(12x + -10)

Reorder the terms:
21 + -10 + 15x = -0.50(12x + -10)

Combine like terms: 21 + -10 = 11
11 + 15x = -0.50(12x + -10)

Reorder the terms:
11 + 15x = -0.50(-10 + 12x)
11 + 15x = (-10 * -0.50 + 12x * -0.50)
11 + 15x = (5 + -6x)

Solving
11 + 15x = 5 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
11 + 15x + 6x = 5 + -6x + 6x

Combine like terms: 15x + 6x = 21x
11 + 21x = 5 + -6x + 6x

Combine like terms: -6x + 6x = 0
11 + 21x = 5 + 0
11 + 21x = 5

Add '-11' to each side of the equation.
11 + -11 + 21x = 5 + -11

Combine like terms: 11 + -11 = 0
0 + 21x = 5 + -11
21x = 5 + -11

Combine like terms: 5 + -11 = -6
21x = -6

Divide each side by '21'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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