0.2(4x-5)=-(x-8)

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Solution for 0.2(4x-5)=-(x-8) equation: 


Simplifying
0.2(4x + -5) = -1(x + -8)

Reorder the terms:
0.2(-5 + 4x) = -1(x + -8)
(-5 * 0.2 + 4x * 0.2) = -1(x + -8)
(-1 + 0.8x) = -1(x + -8)

Reorder the terms:
-1 + 0.8x = -1(-8 + x)
-1 + 0.8x = (-8 * -1 + x * -1)
-1 + 0.8x = (8 + -1x)

Solving
-1 + 0.8x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-1 + 0.8x + x = 8 + -1x + x

Combine like terms: 0.8x + x = 1.8x
-1 + 1.8x = 8 + -1x + x

Combine like terms: -1x + x = 0
-1 + 1.8x = 8 + 0
-1 + 1.8x = 8

Add '1' to each side of the equation.
-1 + 1 + 1.8x = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 1.8x = 8 + 1
1.8x = 8 + 1

Combine like terms: 8 + 1 = 9
1.8x = 9

Divide each side by '1.8'.
x = 5

Simplifying
x = 5

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