0.5(x+2)=0.1+3(0.1x+0.3)

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Solution for 0.5(x+2)=0.1+3(0.1x+0.3) equation: 


Simplifying
0.5(x + 2) = 0.1 + 3(0.1x + 0.3)

Reorder the terms:
0.5(2 + x) = 0.1 + 3(0.1x + 0.3)
(2 * 0.5 + x * 0.5) = 0.1 + 3(0.1x + 0.3)
(1 + 0.5x) = 0.1 + 3(0.1x + 0.3)

Reorder the terms:
1 + 0.5x = 0.1 + 3(0.3 + 0.1x)
1 + 0.5x = 0.1 + (0.3 * 3 + 0.1x * 3)
1 + 0.5x = 0.1 + (0.9 + 0.3x)

Combine like terms: 0.1 + 0.9 = 1
1 + 0.5x = 1 + 0.3x

Add '-1' to each side of the equation.
1 + -1 + 0.5x = 1 + -1 + 0.3x

Combine like terms: 1 + -1 = 0
0 + 0.5x = 1 + -1 + 0.3x
0.5x = 1 + -1 + 0.3x

Combine like terms: 1 + -1 = 0
0.5x = 0 + 0.3x
0.5x = 0.3x

Solving
0.5x = 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
0.5x + -0.3x = 0.3x + -0.3x

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

Combine like terms: 0.3x + -0.3x = 0.0
0.2x = 0.0

Divide each side by '0.2'.
x = 0

Simplifying
x = 0

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