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

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


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

Reorder the terms:
2(-4 + 3d) = 5(d + 3)
(-4 * 2 + 3d * 2) = 5(d + 3)
(-8 + 6d) = 5(d + 3)

Reorder the terms:
-8 + 6d = 5(3 + d)
-8 + 6d = (3 * 5 + d * 5)
-8 + 6d = (15 + 5d)

Solving
-8 + 6d = 15 + 5d

Solving for variable 'd'.

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

Add '-5d' to each side of the equation.
-8 + 6d + -5d = 15 + 5d + -5d

Combine like terms: 6d + -5d = 1d
-8 + 1d = 15 + 5d + -5d

Combine like terms: 5d + -5d = 0
-8 + 1d = 15 + 0
-8 + 1d = 15

Add '8' to each side of the equation.
-8 + 8 + 1d = 15 + 8

Combine like terms: -8 + 8 = 0
0 + 1d = 15 + 8
1d = 15 + 8

Combine like terms: 15 + 8 = 23
1d = 23

Divide each side by '1'.
d = 23

Simplifying
d = 23

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