4d+3=2(d-3)

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

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

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

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

Solving
3 + 4d = -6 + 2d

Solving for variable 'd'.

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

Add '-2d' to each side of the equation.
3 + 4d + -2d = -6 + 2d + -2d

Combine like terms: 4d + -2d = 2d
3 + 2d = -6 + 2d + -2d

Combine like terms: 2d + -2d = 0
3 + 2d = -6 + 0
3 + 2d = -6

Add '-3' to each side of the equation.
3 + -3 + 2d = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 2d = -6 + -3
2d = -6 + -3

Combine like terms: -6 + -3 = -9
2d = -9

Divide each side by '2'.
d = -4.5

Simplifying
d = -4.5