Solve 1/8=6/7x-1/6

$$\frac { 1 } { 8 } = \frac { 6 } { 7 } x - \frac { 1 } { 6 }$$

Solve for x

$$x=\frac{49}{144}\approx 0.340277778$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{6}{7}x-\frac{1}{6}=\frac{1}{8}$$

Add \frac{1}{6} to both sides.

$$\frac{6}{7}x=\frac{1}{8}+\frac{1}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{1}{8} and \frac{1}{6} to fractions with denominator 24.

$$\frac{6}{7}x=\frac{3}{24}+\frac{4}{24}$$

Since \frac{3}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{6}{7}x=\frac{3+4}{24}$$

Add 3 and 4 to get 7.

$$\frac{6}{7}x=\frac{7}{24}$$

Multiply both sides by \frac{7}{6}, the reciprocal of \frac{6}{7}.

$$x=\frac{7}{24}\times \frac{7}{6}$$

Multiply \frac{7}{24} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{7\times 7}{24\times 6}$$

Do the multiplications in the fraction \frac{7\times 7}{24\times 6}.

$$x=\frac{49}{144}$$