.25(12x+4)-14=.5(8x-16)

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Solution for .25(12x+4)-14=.5(8x-16) equation:


Simplifying
0.25(12x + 4) + -14 = 0.5(8x + -16)

Reorder the terms:
0.25(4 + 12x) + -14 = 0.5(8x + -16)
(4 * 0.25 + 12x * 0.25) + -14 = 0.5(8x + -16)
(1 + 3x) + -14 = 0.5(8x + -16)

Reorder the terms:
1 + -14 + 3x = 0.5(8x + -16)

Combine like terms: 1 + -14 = -13
-13 + 3x = 0.5(8x + -16)

Reorder the terms:
-13 + 3x = 0.5(-16 + 8x)
-13 + 3x = (-16 * 0.5 + 8x * 0.5)
-13 + 3x = (-8 + 4x)

Solving
-13 + 3x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-13 + 3x + -4x = -8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-13 + -1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + -1x = -8 + 0
-13 + -1x = -8

Add '13' to each side of the equation.
-13 + 13 + -1x = -8 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = -8 + 13
-1x = -8 + 13

Combine like terms: -8 + 13 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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