Solve 2/3 1/3 (x- 1/3 )=-1

Question

Solve the equation

x = - \frac{25}{6}

Alternative Form

x = - 4.1 \dot{6}

Evaluate

\frac{2}{3} \times \frac{1}{3} (x - \frac{1}{3}) = - 1

Multiply the terms

More Steps

Evaluate

\frac{2}{3} \times \frac{1}{3} (x - \frac{1}{3})

Multiply the terms

More Steps

Evaluate

\frac{2}{3} \times \frac{1}{3}

To multiply the fractions,multiply the numerators and denominators separately

\frac{2}{3 \times 3}

Multiply the numbers

\frac{2}{9}

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

Apply the distributive property

\frac{2}{9} x - \frac{2}{9} \times \frac{1}{3}

Multiply the numbers

More Steps

Evaluate

\frac{2}{9} \times \frac{1}{3}

To multiply the fractions,multiply the numerators and denominators separately

\frac{2}{9 \times 3}

Multiply the numbers

\frac{2}{27}

\frac{2}{9} x - \frac{2}{27}

\frac{2}{9} x - \frac{2}{27} = - 1

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

\frac{2}{9} x = - 1 + \frac{2}{27}

Add the numbers

More Steps

Evaluate

- 1 + \frac{2}{27}

Reduce fractions to a common denominator

- \frac{27}{27} + \frac{2}{27}

Write all numerators above the common denominator

\frac{- 27 + 2}{27}

Add the numbers

\frac{- 25}{27}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{25}{27}

\frac{2}{9} x = - \frac{25}{27}

Multiply by the reciprocal

\frac{2}{9} x \times \frac{9}{2} = - \frac{25}{27} \times \frac{9}{2}

Multiply

x = - \frac{25}{27} \times \frac{9}{2}

Solution

More Steps

Evaluate

- \frac{25}{27} \times \frac{9}{2}

Reduce the numbers

- \frac{25}{3} \times \frac{1}{2}

To multiply the fractions,multiply the numerators and denominators separately

- \frac{25}{3 \times 2}

Multiply the numbers

- \frac{25}{6}

x = - \frac{25}{6}

Alternative Form

x = - 4.1 \dot{6}

Show Solution

Rewrite the equation

6 x = - 25

Evaluate

\frac{2}{3} \times \frac{1}{3} (x - \frac{1}{3}) = - 1

Evaluate

More Steps

Evaluate

\frac{2}{3} \times \frac{1}{3} (x - \frac{1}{3})

Multiply the terms

More Steps

Evaluate

\frac{2}{3} \times \frac{1}{3}

To multiply the fractions,multiply the numerators and denominators separately

\frac{2}{3 \times 3}

Multiply the numbers

\frac{2}{9}

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

Apply the distributive property

\frac{2}{9} x - \frac{2}{9} \times \frac{1}{3}

Multiply the numbers

More Steps

Evaluate

\frac{2}{9} \times \frac{1}{3}

To multiply the fractions,multiply the numerators and denominators separately

\frac{2}{9 \times 3}

Multiply the numbers

\frac{2}{27}

\frac{2}{9} x - \frac{2}{27}

\frac{2}{9} x - \frac{2}{27} = - 1

Multiply both sides of the equation by LCD

6 x - 2 = - 27

Solution

6 x = - 25

Show Solution

Solve the equation

Rewrite the equation

Graph