11(d+1)=4(d+8)

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Solution for 11(d+1)=4(d+8) equation: 


Simplifying
11(d + 1) = 4(d + 8)

Reorder the terms:
11(1 + d) = 4(d + 8)
(1 * 11 + d * 11) = 4(d + 8)
(11 + 11d) = 4(d + 8)

Reorder the terms:
11 + 11d = 4(8 + d)
11 + 11d = (8 * 4 + d * 4)
11 + 11d = (32 + 4d)

Solving
11 + 11d = 32 + 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.
11 + 11d + -4d = 32 + 4d + -4d

Combine like terms: 11d + -4d = 7d
11 + 7d = 32 + 4d + -4d

Combine like terms: 4d + -4d = 0
11 + 7d = 32 + 0
11 + 7d = 32

Add '-11' to each side of the equation.
11 + -11 + 7d = 32 + -11

Combine like terms: 11 + -11 = 0
0 + 7d = 32 + -11
7d = 32 + -11

Combine like terms: 32 + -11 = 21
7d = 21

Divide each side by '7'.
d = 3

Simplifying
d = 3

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