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)

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

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

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

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

Combine like terms: 0.8x + -0.2x = 0.6x
0.6x = 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.6x = 0.0

Divide each side by '0.6'.
x = 0

Simplifying
x = 0

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