What is the answer to 8 3/5 = 3/4 x-5 1/2 ?

The answer to 8 3/5 = 3/4 x-5 1/2 is x=18 4/5

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8 3/5 = 3/4 x-5 1/2

8 \frac{3}{5} = \frac{3}{4} x - 5 \frac{1}{2}

x = 18 \frac{4}{5}

Decimal Notation

x = 18.8

Solution steps

8 \frac{3}{5} = \frac{3}{4} x - 5 \frac{1}{2}

Convert mixed numbers to improper fractions:

8 \frac{3}{5} = \frac{43}{5}

\frac{43}{5} = \frac{3}{4} x - 5 \frac{1}{2}

Convert mixed numbers to improper fractions:

5 \frac{1}{2} = \frac{11}{2}

\frac{43}{5} = \frac{3}{4} x - \frac{11}{2}

Switch sides

\frac{3}{4} x - \frac{11}{2} = \frac{43}{5}

Move

\frac{11}{2}

to the right side

\frac{3}{4} x = \frac{141}{10}

Multiply both sides by

4

3 x = \frac{282}{5}

Divide both sides by

3

x = \frac{94}{5}

Convert improper fractions to mixed numbers:

\frac{94}{5} = 18 \frac{4}{5}

x = 18 \frac{4}{5}

x, 2 x + 4 y = - 10

c, 29 + 4 w = 23 - c w

7 (x - 11) - 3 x = - 53

y - 21 = - 35

8 (x - 5) = 2 (3 x - 8)

What is the answer to 8 3/5 = 3/4 x-5 1/2 ?
The answer to 8 3/5 = 3/4 x-5 1/2 is x=18 4/5
Solve for x: 8 3/5 = 3/4 x-5 1/2
The solution is x=18 4/5