5(d+3)=15+2(2d-1)

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Solution for 5(d+3)=15+2(2d-1) equation:


Simplifying
5(d + 3) = 15 + 2(2d + -1)

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

Reorder the terms:
15 + 5d = 15 + 2(-1 + 2d)
15 + 5d = 15 + (-1 * 2 + 2d * 2)
15 + 5d = 15 + (-2 + 4d)

Combine like terms: 15 + -2 = 13
15 + 5d = 13 + 4d

Solving
15 + 5d = 13 + 4d

Solving for variable 'd'.

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

Add '-4d' to each side of the equation.
15 + 5d + -4d = 13 + 4d + -4d

Combine like terms: 5d + -4d = 1d
15 + 1d = 13 + 4d + -4d

Combine like terms: 4d + -4d = 0
15 + 1d = 13 + 0
15 + 1d = 13

Add '-15' to each side of the equation.
15 + -15 + 1d = 13 + -15

Combine like terms: 15 + -15 = 0
0 + 1d = 13 + -15
1d = 13 + -15

Combine like terms: 13 + -15 = -2
1d = -2

Divide each side by '1'.
d = -2

Simplifying
d = -2

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