3.8[d+7]=45.6

Solution for 3.8[d+7]=45.6 equation:

Simplifying
3.8[d + 7] = 45.6

Reorder the terms:
3.8[7 + d] = 45.6
[7 * 3.8 + d * 3.8] = 45.6
[26.6 + 3.8d] = 45.6

Solving
26.6 + 3.8d = 45.6

Solving for variable 'd'.

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

Add '-26.6' to each side of the equation.
26.6 + -26.6 + 3.8d = 45.6 + -26.6

Combine like terms: 26.6 + -26.6 = 0.0
0.0 + 3.8d = 45.6 + -26.6
3.8d = 45.6 + -26.6

Combine like terms: 45.6 + -26.6 = 19
3.8d = 19

Divide each side by '3.8'.
d = 5

Simplifying
d = 5