-4(4-x)=.80(x+8)

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Solution for -4(4-x)=.80(x+8) equation:


Simplifying
-4(4 + -1x) = 0.80(x + 8)
(4 * -4 + -1x * -4) = 0.80(x + 8)
(-16 + 4x) = 0.80(x + 8)

Reorder the terms:
-16 + 4x = 0.80(8 + x)
-16 + 4x = (8 * 0.80 + x * 0.80)
-16 + 4x = (6.4 + 0.80x)

Solving
-16 + 4x = 6.4 + 0.80x

Solving for variable 'x'.

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

Add '-0.80x' to each side of the equation.
-16 + 4x + -0.80x = 6.4 + 0.80x + -0.80x

Combine like terms: 4x + -0.80x = 3.2x
-16 + 3.2x = 6.4 + 0.80x + -0.80x

Combine like terms: 0.80x + -0.80x = 0.00
-16 + 3.2x = 6.4 + 0.00
-16 + 3.2x = 6.4

Add '16' to each side of the equation.
-16 + 16 + 3.2x = 6.4 + 16

Combine like terms: -16 + 16 = 0
0 + 3.2x = 6.4 + 16
3.2x = 6.4 + 16

Combine like terms: 6.4 + 16 = 22.4
3.2x = 22.4

Divide each side by '3.2'.
x = 7

Simplifying
x = 7

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