-8(2-x)=0.8(x+25)

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Solution for -8(2-x)=0.8(x+25) equation:


Simplifying
-8(2 + -1x) = 0.8(x + 25)
(2 * -8 + -1x * -8) = 0.8(x + 25)
(-16 + 8x) = 0.8(x + 25)

Reorder the terms:
-16 + 8x = 0.8(25 + x)
-16 + 8x = (25 * 0.8 + x * 0.8)
-16 + 8x = (20 + 0.8x)

Solving
-16 + 8x = 20 + 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 + 8x + -0.8x = 20 + 0.8x + -0.8x

Combine like terms: 8x + -0.8x = 7.2x
-16 + 7.2x = 20 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-16 + 7.2x = 20 + 0.0
-16 + 7.2x = 20

Add '16' to each side of the equation.
-16 + 16 + 7.2x = 20 + 16

Combine like terms: -16 + 16 = 0
0 + 7.2x = 20 + 16
7.2x = 20 + 16

Combine like terms: 20 + 16 = 36
7.2x = 36

Divide each side by '7.2'.
x = 5

Simplifying
x = 5

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