0.2(x+1)=2x+1

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Solution for 0.2(x+1)=2x+1 equation: 


Simplifying
0.2(x + 1) = 2x + 1

Reorder the terms:
0.2(1 + x) = 2x + 1
(1 * 0.2 + x * 0.2) = 2x + 1
(0.2 + 0.2x) = 2x + 1

Reorder the terms:
0.2 + 0.2x = 1 + 2x

Solving
0.2 + 0.2x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
0.2 + 0.2x + -2x = 1 + 2x + -2x

Combine like terms: 0.2x + -2x = -1.8x
0.2 + -1.8x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.2 + -1.8x = 1 + 0
0.2 + -1.8x = 1

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -1.8x = 1 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -1.8x = 1 + -0.2
-1.8x = 1 + -0.2

Combine like terms: 1 + -0.2 = 0.8
-1.8x = 0.8

Divide each side by '-1.8'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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