.20(x+13)=2(9+x)

Solution for .20(x+13)=2(9+x) equation:

Simplifying
0.20(x + 13) = 2(9 + x)

Reorder the terms:
0.20(13 + x) = 2(9 + x)
(13 * 0.20 + x * 0.20) = 2(9 + x)
(2.6 + 0.20x) = 2(9 + x)
2.6 + 0.20x = (9 * 2 + x * 2)
2.6 + 0.20x = (18 + 2x)

Solving
2.6 + 0.20x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2.6 + 0.20x + -2x = 18 + 2x + -2x

Combine like terms: 0.20x + -2x = -1.8x
2.6 + -1.8x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
2.6 + -1.8x = 18 + 0
2.6 + -1.8x = 18

Add '-2.6' to each side of the equation.
2.6 + -2.6 + -1.8x = 18 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + -1.8x = 18 + -2.6
-1.8x = 18 + -2.6

Combine like terms: 18 + -2.6 = 15.4
-1.8x = 15.4

Divide each side by '-1.8'.
x = -8.555555556

Simplifying
x = -8.555555556