.05x+.50(x+5)=15.50

Solution for .05x+.50(x+5)=15.50 equation:

Simplifying
0.05x + 0.50(x + 5) = 15.50

Reorder the terms:
0.05x + 0.50(5 + x) = 15.50
0.05x + (5 * 0.50 + x * 0.50) = 15.50
0.05x + (2.5 + 0.50x) = 15.50

Reorder the terms:
2.5 + 0.05x + 0.50x = 15.50

Combine like terms: 0.05x + 0.50x = 0.55x
2.5 + 0.55x = 15.50

Solving
2.5 + 0.55x = 15.50

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.55x = 15.50 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.55x = 15.50 + -2.5
0.55x = 15.50 + -2.5

Combine like terms: 15.50 + -2.5 = 13
0.55x = 13

Divide each side by '0.55'.
x = 23.63636364

Simplifying
x = 23.63636364