-0.8(x+1)=0.2(x+4)

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Solution for -0.8(x+1)=0.2(x+4) equation: 


Simplifying
-0.8(x + 1) = 0.2(x + 4)

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

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

Solving
-0.8 + -0.8x = 0.8 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-0.8 + -0.8x + -0.2x = 0.8 + 0.2x + -0.2x

Combine like terms: -0.8x + -0.2x = -1x
-0.8 + -1x = 0.8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-0.8 + -1x = 0.8 + 0.0
-0.8 + -1x = 0.8

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

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + -1x = 0.8 + 0.8
-1x = 0.8 + 0.8

Combine like terms: 0.8 + 0.8 = 1.6
-1x = 1.6

Divide each side by '-1'.
x = -1.6

Simplifying
x = -1.6

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