0.5(x+1)=0.1(x+2)

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Solution for 0.5(x+1)=0.1(x+2) equation: 


Simplifying
0.5(x + 1) = 0.1(x + 2)

Reorder the terms:
0.5(1 + x) = 0.1(x + 2)
(1 * 0.5 + x * 0.5) = 0.1(x + 2)
(0.5 + 0.5x) = 0.1(x + 2)

Reorder the terms:
0.5 + 0.5x = 0.1(2 + x)
0.5 + 0.5x = (2 * 0.1 + x * 0.1)
0.5 + 0.5x = (0.2 + 0.1x)

Solving
0.5 + 0.5x = 0.2 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
0.5 + 0.5x + -0.1x = 0.2 + 0.1x + -0.1x

Combine like terms: 0.5x + -0.1x = 0.4x
0.5 + 0.4x = 0.2 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
0.5 + 0.4x = 0.2 + 0.0
0.5 + 0.4x = 0.2

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.4x = 0.2 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.4x = 0.2 + -0.5
0.4x = 0.2 + -0.5

Combine like terms: 0.2 + -0.5 = -0.3
0.4x = -0.3

Divide each side by '0.4'.
x = -0.75

Simplifying
x = -0.75

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