What is the answer to (5d+1)/7 =(6d-5)/(15) ?

The answer to (5d+1)/7 =(6d-5)/(15) is d=-50/33

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(5d+1)/7 =(6d-5)/(15)

\frac{5 d + 1}{7} = \frac{6 d - 5}{15}

d = - \frac{50}{33}

Decimal Notation

d = - 1.51515 \dots

Solution steps

\frac{5 d + 1}{7} = \frac{6 d - 5}{15}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(5 d + 1) \cdot 15 = 7 (6 d - 5)

Expand

(5 d + 1) \cdot 15 : 75 d + 15

Expand

7 (6 d - 5) : 42 d - 35

75 d + 15 = 42 d - 35

Move

15

to the right side

75 d = 42 d - 50

Move

42 d

to the left side

33 d = - 50

Divide both sides by

33

d = - \frac{50}{33}

\frac{5 m}{- 7} + 8 = 3

0.5 x + 6.4 = 4.9 - 0.1 x

\frac{a}{d}

y, 18 x - 6 y = 3

y, - 5 x - 4 y = - 8

What is the answer to (5d+1)/7 =(6d-5)/(15) ?
The answer to (5d+1)/7 =(6d-5)/(15) is d=-50/33
Solve for d: (5d+1)/7 =(6d-5)/(15)
The solution is d=-50/33