7(2d-1)+5(2-3d)=2d

Solution for 7(2d-1)+5(2-3d)=2d equation:

Simplifying
7(2d + -1) + 5(2 + -3d) = 2d

Reorder the terms:
7(-1 + 2d) + 5(2 + -3d) = 2d
(-1 * 7 + 2d * 7) + 5(2 + -3d) = 2d
(-7 + 14d) + 5(2 + -3d) = 2d
-7 + 14d + (2 * 5 + -3d * 5) = 2d
-7 + 14d + (10 + -15d) = 2d

Reorder the terms:
-7 + 10 + 14d + -15d = 2d

Combine like terms: -7 + 10 = 3
3 + 14d + -15d = 2d

Combine like terms: 14d + -15d = -1d
3 + -1d = 2d

Solving
3 + -1d = 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 + -1d + -2d = 2d + -2d

Combine like terms: -1d + -2d = -3d
3 + -3d = 2d + -2d

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

Add '-3' to each side of the equation.
3 + -3 + -3d = 0 + -3

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

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

Divide each side by '-3'.
d = 1

Simplifying
d = 1