Solve 3/5(7/9x-1/3)=x-2 1/3

Question

Solve the equation

x = 4

Evaluate

\frac{3}{5} (\frac{7}{9} x - \frac{1}{3}) = x - 2 \frac{1}{3}

Multiply the terms

More Steps

\frac{7}{15} x - \frac{1}{5} = x - 2 \frac{1}{3}

Covert the mixed number to an improper fraction

More Steps

\frac{7}{15} x - \frac{1}{5} = x - \frac{7}{3}

Multiply both sides of the equation by LCM

(\frac{7}{15} x - \frac{1}{5}) \times 15 = (x - \frac{7}{3}) \times 15

Calculate

More Steps

7 x - 3 = (x - \frac{7}{3}) \times 15

Calculate

More Steps

7 x - 3 = 15 x - 35

Move the expression to the left side

7 x - 3 - 15 x = - 35

Move the expression to the right side

7 x - 15 x = - 35 + 3

Add and subtract

More Steps

- 8 x = - 35 + 3

Add and subtract

- 8 x = - 32

Change the signs on both sides of the equation

8 x = 32

Divide both sides

\frac{8 x}{8} = \frac{32}{8}

Divide the numbers

x = \frac{32}{8}

Solution

More Steps

x = 4

Show Solution

x = 4

Show Solution