.5(14x+4)-9=-.75(12x-28)

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Solution for .5(14x+4)-9=-.75(12x-28) equation:


Simplifying
0.5(14x + 4) + -9 = -0.75(12x + -28)

Reorder the terms:
0.5(4 + 14x) + -9 = -0.75(12x + -28)
(4 * 0.5 + 14x * 0.5) + -9 = -0.75(12x + -28)
(2 + 7x) + -9 = -0.75(12x + -28)

Reorder the terms:
2 + -9 + 7x = -0.75(12x + -28)

Combine like terms: 2 + -9 = -7
-7 + 7x = -0.75(12x + -28)

Reorder the terms:
-7 + 7x = -0.75(-28 + 12x)
-7 + 7x = (-28 * -0.75 + 12x * -0.75)
-7 + 7x = (21 + -9x)

Solving
-7 + 7x = 21 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-7 + 7x + 9x = 21 + -9x + 9x

Combine like terms: 7x + 9x = 16x
-7 + 16x = 21 + -9x + 9x

Combine like terms: -9x + 9x = 0
-7 + 16x = 21 + 0
-7 + 16x = 21

Add '7' to each side of the equation.
-7 + 7 + 16x = 21 + 7

Combine like terms: -7 + 7 = 0
0 + 16x = 21 + 7
16x = 21 + 7

Combine like terms: 21 + 7 = 28
16x = 28

Divide each side by '16'.
x = 1.75

Simplifying
x = 1.75

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