-4(4-x)=.8(x+28)

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Solution for -4(4-x)=.8(x+28) equation:


Simplifying
-4(4 + -1x) = 0.8(x + 28)
(4 * -4 + -1x * -4) = 0.8(x + 28)
(-16 + 4x) = 0.8(x + 28)

Reorder the terms:
-16 + 4x = 0.8(28 + x)
-16 + 4x = (28 * 0.8 + x * 0.8)
-16 + 4x = (22.4 + 0.8x)

Solving
-16 + 4x = 22.4 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
-16 + 4x + -0.8x = 22.4 + 0.8x + -0.8x

Combine like terms: 4x + -0.8x = 3.2x
-16 + 3.2x = 22.4 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-16 + 3.2x = 22.4 + 0.0
-16 + 3.2x = 22.4

Add '16' to each side of the equation.
-16 + 16 + 3.2x = 22.4 + 16

Combine like terms: -16 + 16 = 0
0 + 3.2x = 22.4 + 16
3.2x = 22.4 + 16

Combine like terms: 22.4 + 16 = 38.4
3.2x = 38.4

Divide each side by '3.2'.
x = 12

Simplifying
x = 12

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