0.3(6+x)=(8-x)

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Solution for 0.3(6+x)=(8-x) equation: 


Simplifying
0.3(6 + x) = (8 + -1x)
(6 * 0.3 + x * 0.3) = (8 + -1x)
(1.8 + 0.3x) = (8 + -1x)

Remove parenthesis around (8 + -1x)
1.8 + 0.3x = 8 + -1x

Solving
1.8 + 0.3x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1.8 + 0.3x + x = 8 + -1x + x

Combine like terms: 0.3x + x = 1.3x
1.8 + 1.3x = 8 + -1x + x

Combine like terms: -1x + x = 0
1.8 + 1.3x = 8 + 0
1.8 + 1.3x = 8

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 1.3x = 8 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 1.3x = 8 + -1.8
1.3x = 8 + -1.8

Combine like terms: 8 + -1.8 = 6.2
1.3x = 6.2

Divide each side by '1.3'.
x = 4.769230769

Simplifying
x = 4.769230769

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