Step-by-step explanation:
Simplifying
10d + 10 = 5d + 45
Reorder the terms:
10 + 10d = 5d + 45
Reorder the terms:
10 + 10d = 45 + 5d
Solving
10 + 10d = 45 + 5d
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-5d' to each side of the equation.
10 + 10d + -5d = 45 + 5d + -5d
Combine like terms: 10d + -5d = 5d
10 + 5d = 45 + 5d + -5d
Combine like terms: 5d + -5d = 0
10 + 5d = 45 + 0
10 + 5d = 45
Add '-10' to each side of the equation.
10 + -10 + 5d = 45 + -10
Combine like terms: 10 + -10 = 0
0 + 5d = 45 + -10
5d = 45 + -10
Combine like terms: 45 + -10 = 35
5d = 35
Divide each side by '5'.
d = 7
Simplifying
d = 7
