Solve 1/4-3 1/6x=2 5/8

Question

Solve the equation

x = - \frac{3}{4}

Alternative Form

x = - 0.75

Evaluate

\frac{1}{4} - 3 \frac{1}{6} \times x = 2 \frac{5}{8}

Covert the mixed number to an improper fraction

More Steps

Evaluate

3 \frac{1}{6}

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

\frac{3 \times 6 + 1}{6}

Multiply the terms

\frac{18 + 1}{6}

Add the terms

\frac{19}{6}

\frac{1}{4} - \frac{19}{6} x = 2 \frac{5}{8}

Covert the mixed number to an improper fraction

More Steps

Evaluate

2 \frac{5}{8}

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

\frac{2 \times 8 + 5}{8}

Multiply the terms

\frac{16 + 5}{8}

Add the terms

\frac{21}{8}

\frac{1}{4} - \frac{19}{6} x = \frac{21}{8}

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

- \frac{19}{6} x = \frac{21}{8} - \frac{1}{4}

Subtract the numbers

More Steps

Evaluate

\frac{21}{8} - \frac{1}{4}

Reduce fractions to a common denominator

\frac{21}{8} - \frac{2}{4 \times 2}

Multiply the numbers

\frac{21}{8} - \frac{2}{8}

Write all numerators above the common denominator

\frac{21 - 2}{8}

Subtract the numbers

\frac{19}{8}

- \frac{19}{6} x = \frac{19}{8}

Change the signs on both sides of the equation

\frac{19}{6} x = - \frac{19}{8}

Multiply by the reciprocal

\frac{19}{6} x \times \frac{6}{19} = - \frac{19}{8} \times \frac{6}{19}

Multiply

x = - \frac{19}{8} \times \frac{6}{19}

Solution

More Steps

Evaluate

- \frac{19}{8} \times \frac{6}{19}

Reduce the numbers

- \frac{1}{8} \times 6

Reduce the numbers

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

Multiply the numbers

- \frac{3}{4}

x = - \frac{3}{4}

Alternative Form

x = - 0.75

Show Solution

Rewrite the equation

4 x = - 3

Evaluate

\frac{1}{4} - 3 \frac{1}{6} \times x = 2 \frac{5}{8}

Covert the mixed number to an improper fraction

More Steps

Evaluate

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

Covert the mixed number to an improper fraction

More Steps

Evaluate

3 \frac{1}{6}

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

\frac{3 \times 6 + 1}{6}

Multiply the terms

\frac{18 + 1}{6}

Add the terms

\frac{19}{6}

\frac{1}{4} - \frac{19}{6} x

\frac{1}{4} - \frac{19}{6} x = 2 \frac{5}{8}

Evaluate

More Steps

Evaluate

2 \frac{5}{8}

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

\frac{2 \times 8 + 5}{8}

Multiply the terms

\frac{16 + 5}{8}

Add the terms

\frac{21}{8}

\frac{1}{4} - \frac{19}{6} x = \frac{21}{8}

Multiply both sides of the equation by LCD

6 - 76 x = 63

Move the constant to the right side

- 76 x = 57

Multiply both sides

76 x = - 57

Solution

4 x = - 3

Show Solution

Solve the equation

Rewrite the equation

Graph