0.05t+0.10(t+300)=150

Solution for 0.05t+0.10(t+300)=150 equation:

Simplifying
0.05t + 0.10(t + 300) = 150

Reorder the terms:
0.05t + 0.10(300 + t) = 150
0.05t + (300 * 0.10 + t * 0.10) = 150
0.05t + (30 + 0.10t) = 150

Reorder the terms:
30 + 0.05t + 0.10t = 150

Combine like terms: 0.05t + 0.10t = 0.15t
30 + 0.15t = 150

Solving
30 + 0.15t = 150

Solving for variable 't'.

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

Add '-30' to each side of the equation.
30 + -30 + 0.15t = 150 + -30

Combine like terms: 30 + -30 = 0
0 + 0.15t = 150 + -30
0.15t = 150 + -30

Combine like terms: 150 + -30 = 120
0.15t = 120

Divide each side by '0.15'.
t = 800

Simplifying
t = 800