10d-(5d+8)=42

Solution for 10d-(5d+8)=42 equation:

Simplifying
10d + -1(5d + 8) = 42

Reorder the terms:
10d + -1(8 + 5d) = 42
10d + (8 * -1 + 5d * -1) = 42
10d + (-8 + -5d) = 42

Reorder the terms:
-8 + 10d + -5d = 42

Combine like terms: 10d + -5d = 5d
-8 + 5d = 42

Solving
-8 + 5d = 42

Solving for variable 'd'.

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

Add '8' to each side of the equation.
-8 + 8 + 5d = 42 + 8

Combine like terms: -8 + 8 = 0
0 + 5d = 42 + 8
5d = 42 + 8

Combine like terms: 42 + 8 = 50
5d = 50

Divide each side by '5'.
d = 10

Simplifying
d = 10