-4(2-x)=.8(x+14)

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Solution for -4(2-x)=.8(x+14) equation:


Simplifying
-4(2 + -1x) = 0.8(x + 14)
(2 * -4 + -1x * -4) = 0.8(x + 14)
(-8 + 4x) = 0.8(x + 14)

Reorder the terms:
-8 + 4x = 0.8(14 + x)
-8 + 4x = (14 * 0.8 + x * 0.8)
-8 + 4x = (11.2 + 0.8x)

Solving
-8 + 4x = 11.2 + 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.
-8 + 4x + -0.8x = 11.2 + 0.8x + -0.8x

Combine like terms: 4x + -0.8x = 3.2x
-8 + 3.2x = 11.2 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-8 + 3.2x = 11.2 + 0.0
-8 + 3.2x = 11.2

Add '8' to each side of the equation.
-8 + 8 + 3.2x = 11.2 + 8

Combine like terms: -8 + 8 = 0
0 + 3.2x = 11.2 + 8
3.2x = 11.2 + 8

Combine like terms: 11.2 + 8 = 19.2
3.2x = 19.2

Divide each side by '3.2'.
x = 6

Simplifying
x = 6

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