What is the answer to (4f+7)/(24)=(7f-3)/(32) ?

The answer to (4f+7)/(24)=(7f-3)/(32) is f= 37/5

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(4f+7)/(24)=(7f-3)/(32)

\frac{4 f + 7}{24} = \frac{7 f - 3}{32}

f = \frac{37}{5}

Decimal Notation

f = 7.4

Solution steps

\frac{4 f + 7}{24} = \frac{7 f - 3}{32}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 f + 7) \cdot 32 = 24 (7 f - 3)

Expand

(4 f + 7) \cdot 32 : 128 f + 224

Expand

24 (7 f - 3) : 168 f - 72

128 f + 224 = 168 f - 72

Move

224

to the right side

128 f = 168 f - 296

Move

168 f

to the left side

- 40 f = - 296

Divide both sides by

- 40

f = \frac{37}{5}

\frac{x}{5} - \frac{1}{10} = \frac{2 x}{15}

y, x - 2 y = 14

y, x - 2 y = 32

- 9 x + 5 x - 12 = 7 - 3 x

\frac{x}{5} + 8 = 12

What is the answer to (4f+7)/(24)=(7f-3)/(32) ?
The answer to (4f+7)/(24)=(7f-3)/(32) is f= 37/5
Solve for f: (4f+7)/(24)=(7f-3)/(32)
The solution is f= 37/5