2(1.5d-2)+2(0.7+1)=2(4-1.3d)+2(2.5+d)

Solution for 2(1.5d-2)+2(0.7+1)=2(4-1.3d)+2(2.5+d) equation:

Simplifying
2(1.5d + -2) + 2(0.7 + 1) = 2(4 + -1.3d) + 2(2.5 + d)

Reorder the terms:
2(-2 + 1.5d) + 2(0.7 + 1) = 2(4 + -1.3d) + 2(2.5 + d)
(-2 * 2 + 1.5d * 2) + 2(0.7 + 1) = 2(4 + -1.3d) + 2(2.5 + d)
(-4 + 3d) + 2(0.7 + 1) = 2(4 + -1.3d) + 2(2.5 + d)

Combine like terms: 0.7 + 1 = 1.7
-4 + 3d + 2(1.7) = 2(4 + -1.3d) + 2(2.5 + d)

Multiply 2 * 1.7
-4 + 3d + 3.4 = 2(4 + -1.3d) + 2(2.5 + d)

Reorder the terms:
-4 + 3.4 + 3d = 2(4 + -1.3d) + 2(2.5 + d)

Combine like terms: -4 + 3.4 = -0.6
-0.6 + 3d = 2(4 + -1.3d) + 2(2.5 + d)
-0.6 + 3d = (4 * 2 + -1.3d * 2) + 2(2.5 + d)
-0.6 + 3d = (8 + -2.6d) + 2(2.5 + d)
-0.6 + 3d = 8 + -2.6d + (2.5 * 2 + d * 2)
-0.6 + 3d = 8 + -2.6d + (5 + 2d)

Reorder the terms:
-0.6 + 3d = 8 + 5 + -2.6d + 2d

Combine like terms: 8 + 5 = 13
-0.6 + 3d = 13 + -2.6d + 2d

Combine like terms: -2.6d + 2d = -0.6d
-0.6 + 3d = 13 + -0.6d

Solving
-0.6 + 3d = 13 + -0.6d

Solving for variable 'd'.

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

Add '0.6d' to each side of the equation.
-0.6 + 3d + 0.6d = 13 + -0.6d + 0.6d

Combine like terms: 3d + 0.6d = 3.6d
-0.6 + 3.6d = 13 + -0.6d + 0.6d

Combine like terms: -0.6d + 0.6d = 0.0
-0.6 + 3.6d = 13 + 0.0
-0.6 + 3.6d = 13

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 3.6d = 13 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 3.6d = 13 + 0.6
3.6d = 13 + 0.6

Combine like terms: 13 + 0.6 = 13.6
3.6d = 13.6

Divide each side by '3.6'.
d = 3.777777778

Simplifying
d = 3.777777778