4d+2(-3+5d)=1-d

Solution for 4d+2(-3+5d)=1-d equation:

Simplifying
4d + 2(-3 + 5d) = 1 + -1d
4d + (-3 * 2 + 5d * 2) = 1 + -1d
4d + (-6 + 10d) = 1 + -1d

Reorder the terms:
-6 + 4d + 10d = 1 + -1d

Combine like terms: 4d + 10d = 14d
-6 + 14d = 1 + -1d

Solving
-6 + 14d = 1 + -1d

Solving for variable 'd'.

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

Add 'd' to each side of the equation.
-6 + 14d + d = 1 + -1d + d

Combine like terms: 14d + d = 15d
-6 + 15d = 1 + -1d + d

Combine like terms: -1d + d = 0
-6 + 15d = 1 + 0
-6 + 15d = 1

Add '6' to each side of the equation.
-6 + 6 + 15d = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 15d = 1 + 6
15d = 1 + 6

Combine like terms: 1 + 6 = 7
15d = 7

Divide each side by '15'.
d = 0.4666666667

Simplifying
d = 0.4666666667