6-4(3+d)=5(d+2)

Solution for 6-4(3+d)=5(d+2) equation:

Simplifying
6 + -4(3 + d) = 5(d + 2)
6 + (3 * -4 + d * -4) = 5(d + 2)
6 + (-12 + -4d) = 5(d + 2)

Combine like terms: 6 + -12 = -6
-6 + -4d = 5(d + 2)

Reorder the terms:
-6 + -4d = 5(2 + d)
-6 + -4d = (2 * 5 + d * 5)
-6 + -4d = (10 + 5d)

Solving
-6 + -4d = 10 + 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.
-6 + -4d + -5d = 10 + 5d + -5d

Combine like terms: -4d + -5d = -9d
-6 + -9d = 10 + 5d + -5d

Combine like terms: 5d + -5d = 0
-6 + -9d = 10 + 0
-6 + -9d = 10

Add '6' to each side of the equation.
-6 + 6 + -9d = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -9d = 10 + 6
-9d = 10 + 6

Combine like terms: 10 + 6 = 16
-9d = 16

Divide each side by '-9'.
d = -1.777777778

Simplifying
d = -1.777777778