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

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

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

Reorder the terms:
3(-2 + d) = 4(d + 5)
(-2 * 3 + d * 3) = 4(d + 5)
(-6 + 3d) = 4(d + 5)

Reorder the terms:
-6 + 3d = 4(5 + d)
-6 + 3d = (5 * 4 + d * 4)
-6 + 3d = (20 + 4d)

Solving
-6 + 3d = 20 + 4d

Solving for variable 'd'.

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

Add '-4d' to each side of the equation.
-6 + 3d + -4d = 20 + 4d + -4d

Combine like terms: 3d + -4d = -1d
-6 + -1d = 20 + 4d + -4d

Combine like terms: 4d + -4d = 0
-6 + -1d = 20 + 0
-6 + -1d = 20

Add '6' to each side of the equation.
-6 + 6 + -1d = 20 + 6

Combine like terms: -6 + 6 = 0
0 + -1d = 20 + 6
-1d = 20 + 6

Combine like terms: 20 + 6 = 26
-1d = 26

Divide each side by '-1'.
d = -26

Simplifying
d = -26