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

Question

Solve the equation

x = \frac{94}{5}

Alternative Form

x = 18.8

Evaluate

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

Covert the mixed number to an improper fraction

More Steps

Evaluate

8 \frac{3}{5}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{8 \times 5 + 3}{5}

Multiply the terms

\frac{40 + 3}{5}

Add the terms

\frac{43}{5}

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

Covert the mixed number to an improper fraction

More Steps

Evaluate

5 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{5 \times 2 + 1}{2}

Multiply the terms

\frac{10 + 1}{2}

Add the terms

\frac{11}{2}

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

Swap the sides of the equation

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

Move the constant to the right-hand side and change its sign

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

Add the numbers

More Steps

Evaluate

\frac{43}{5} + \frac{11}{2}

Reduce fractions to a common denominator

\frac{43 \times 2}{5 \times 2} + \frac{11 \times 5}{2 \times 5}

Multiply the numbers

\frac{43 \times 2}{10} + \frac{11 \times 5}{2 \times 5}

Multiply the numbers

\frac{43 \times 2}{10} + \frac{11 \times 5}{10}

Write all numerators above the common denominator

\frac{43 \times 2 + 11 \times 5}{10}

Multiply the numbers

\frac{86 + 11 \times 5}{10}

Multiply the numbers

\frac{86 + 55}{10}

Add the numbers

\frac{141}{10}

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

Multiply by the reciprocal

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

Multiply

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

Solution

More Steps

Evaluate

\frac{141}{10} \times \frac{4}{3}

Reduce the numbers

\frac{47}{10} \times 4

Reduce the numbers

\frac{47}{5} \times 2

Multiply the numbers

\frac{47 \times 2}{5}

Multiply the numbers

\frac{94}{5}

x = \frac{94}{5}

Alternative Form

x = 18.8

Show Solution

Rewrite the equation

5 x = 94

Evaluate

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

Evaluate

More Steps

Evaluate

8 \frac{3}{5}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{8 \times 5 + 3}{5}

Multiply the terms

\frac{40 + 3}{5}

Add the terms

\frac{43}{5}

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

Covert the mixed number to an improper fraction

More Steps

Evaluate

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

Covert the mixed number to an improper fraction

More Steps

Evaluate

5 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{5 \times 2 + 1}{2}

Multiply the terms

\frac{10 + 1}{2}

Add the terms

\frac{11}{2}

\frac{3}{4} x - \frac{11}{2}

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

Multiply both sides of the equation by LCD

172 = 15 x - 110

Rewrite the expression

15 x - 110 = 172

Move the constant to the right side

15 x = 282

Solution

5 x = 94

Show Solution

Solve the equation

Rewrite the equation

Graph