0.05(x+6)=0.13(3-x)

Solution for 0.05(x+6)=0.13(3-x) equation:

Simplifying
0.05(x + 6) = 0.13(3 + -1x)

Reorder the terms:
0.05(6 + x) = 0.13(3 + -1x)
(6 * 0.05 + x * 0.05) = 0.13(3 + -1x)
(0.3 + 0.05x) = 0.13(3 + -1x)
0.3 + 0.05x = (3 * 0.13 + -1x * 0.13)
0.3 + 0.05x = (0.39 + -0.13x)

Solving
0.3 + 0.05x = 0.39 + -0.13x

Solving for variable 'x'.

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

Add '0.13x' to each side of the equation.
0.3 + 0.05x + 0.13x = 0.39 + -0.13x + 0.13x

Combine like terms: 0.05x + 0.13x = 0.18x
0.3 + 0.18x = 0.39 + -0.13x + 0.13x

Combine like terms: -0.13x + 0.13x = 0.00
0.3 + 0.18x = 0.39 + 0.00
0.3 + 0.18x = 0.39

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.18x = 0.39 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.18x = 0.39 + -0.3
0.18x = 0.39 + -0.3

Combine like terms: 0.39 + -0.3 = 0.09
0.18x = 0.09

Divide each side by '0.18'.
x = 0.5

Simplifying
x = 0.5