What is the answer to 3/5 (15d+20)-1/6 (18d-12)=38 ?

The answer to 3/5 (15d+20)-1/6 (18d-12)=38 is d=4

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3/5 (15d+20)-1/6 (18d-12)=38

\frac{3}{5} (15 d + 20) - \frac{1}{6} (18 d - 12) = 38

d = 4

Solution steps

\frac{3}{5} (15 d + 20) - \frac{1}{6} (18 d - 12) = 38

\frac{3}{5} (15 d + 20) = \frac{3 ( 15 d + 20 )}{5}

\frac{1}{6} (18 d - 12) = \frac{18 d - 12}{6}

\frac{3 ( 15 d + 20 )}{5} - \frac{18 d - 12}{6} = 38

Multiply by LCM

90 (3 d + 4) - 30 (3 d - 2) = 1140

Expand

90 (3 d + 4) - 30 (3 d - 2) : 180 d + 420

180 d + 420 = 1140

Move

420

to the right side

180 d = 720

Divide both sides by

180

d = 4

10 x + 8 = 5 x - 3

- 5 x = 2 x - 28

E = 600 + 0.6 Y

24 m = 12

x, z = 8 + 6 x - p x

What is the answer to 3/5 (15d+20)-1/6 (18d-12)=38 ?
The answer to 3/5 (15d+20)-1/6 (18d-12)=38 is d=4
Solve for d: 3/5 (15d+20)-1/6 (18d-12)=38
The solution is d=4