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

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


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

Reorder the terms:
2(7 + 3d) = 5(d + 1)
(7 * 2 + 3d * 2) = 5(d + 1)
(14 + 6d) = 5(d + 1)

Reorder the terms:
14 + 6d = 5(1 + d)
14 + 6d = (1 * 5 + d * 5)
14 + 6d = (5 + 5d)

Solving
14 + 6d = 5 + 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.
14 + 6d + -5d = 5 + 5d + -5d

Combine like terms: 6d + -5d = 1d
14 + 1d = 5 + 5d + -5d

Combine like terms: 5d + -5d = 0
14 + 1d = 5 + 0
14 + 1d = 5

Add '-14' to each side of the equation.
14 + -14 + 1d = 5 + -14

Combine like terms: 14 + -14 = 0
0 + 1d = 5 + -14
1d = 5 + -14

Combine like terms: 5 + -14 = -9
1d = -9

Divide each side by '1'.
d = -9

Simplifying
d = -9

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