.3(3+x)+.1=.5(x+2)

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Solution for .3(3+x)+.1=.5(x+2) equation: 


Simplifying
0.3(3 + x) + 0.1 = 0.5(x + 2)
(3 * 0.3 + x * 0.3) + 0.1 = 0.5(x + 2)
(0.9 + 0.3x) + 0.1 = 0.5(x + 2)

Reorder the terms:
0.9 + 0.1 + 0.3x = 0.5(x + 2)

Combine like terms: 0.9 + 0.1 = 1
1 + 0.3x = 0.5(x + 2)

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

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

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

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

Solving
0.3x = 0.5x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-0.2'.
x = 0

Simplifying
x = 0

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