Solve 2/3 * (1/4 * x - 6)

Question

Simplify the expression

\frac{1}{6} x - 4

Evaluate

\frac{2}{3} (\frac{1}{4} x - 6)

Apply the distributive property

\frac{2}{3} \times \frac{1}{4} x - \frac{2}{3} \times 6

Multiply the numbers

More Steps

Evaluate

\frac{2}{3} \times \frac{1}{4}

Reduce the numbers

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

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{3 \times 2}

Multiply the numbers

\frac{1}{6}

\frac{1}{6} x - \frac{2}{3} \times 6

Solution

More Steps

Evaluate

\frac{2}{3} \times 6

Reduce the numbers

2 \times 2

Multiply the numbers

4

\frac{1}{6} x - 4

Show Solution

\frac{1}{6} (x - 24)

Evaluate

\frac{2}{3} (\frac{1}{4} x - 6)

Factor the expression

\frac{2}{3} \times \frac{1}{4} (x - 24)

Solution

\frac{1}{6} (x - 24)

Show Solution

x = 24

Evaluate

\frac{2}{3} (\frac{1}{4} x - 6)

To find the roots of the expression,set the expression equal to 0

\frac{2}{3} (\frac{1}{4} x - 6) = 0

Multiply the terms

More Steps

Evaluate

\frac{2}{3} (\frac{1}{4} x - 6)

Apply the distributive property

\frac{2}{3} \times \frac{1}{4} x - \frac{2}{3} \times 6

Multiply the numbers

More Steps

Evaluate

\frac{2}{3} \times \frac{1}{4}

Reduce the numbers

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

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{3 \times 2}

Multiply the numbers

\frac{1}{6}

\frac{1}{6} x - \frac{2}{3} \times 6

Multiply the numbers

More Steps

Evaluate

\frac{2}{3} \times 6

Reduce the numbers

2 \times 2

Multiply the numbers

4

\frac{1}{6} x - 4

\frac{1}{6} x - 4 = 0

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

\frac{1}{6} x = 0 + 4

Removing 0 doesn't change the value,so remove it from the expression

\frac{1}{6} x = 4

Multiply by the reciprocal

\frac{1}{6} x \times 6 = 4 \times 6

Multiply

x = 4 \times 6

Solution

x = 24

Show Solution