Solve 1/6x+1/8x=23/8

$$\frac { 1 } { 6 } x + \frac { 1 } { 8 } x = \frac { 23 } { 8 }$$

Solve for x

$$x = \frac{69}{7} = 9\frac{6}{7} \approx 9.857142857$$

Steps for Solving Linear Equation

Combine \frac{1}{6}x and \frac{1}{8}x to get \frac{7}{24}x.

$$\frac{7}{24}x=\frac{23}{8}$$

Multiply both sides by \frac{24}{7}, the reciprocal of \frac{7}{24}.

$$x=\frac{23}{8}\times \frac{24}{7}$$

Multiply \frac{23}{8} times \frac{24}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{23\times 24}{8\times 7}$$

Do the multiplications in the fraction \frac{23\times 24}{8\times 7}.

$$x=\frac{552}{56}$$

Reduce the fraction \frac{552}{56} to lowest terms by extracting and canceling out 8.

$$x=\frac{69}{7}$$