Solve 2x-4/8+1=3/7

$$\frac{ 2x-4 }{ 8+1 } = \frac{ 3 }{ 7 }$$

Solve for x

$$x = \frac{55}{14} = 3\frac{13}{14} \approx 3.928571429$$

Steps for Solving Linear Equation

Add 8 and 1 to get 9.

$$\frac{2x-4}{9}=\frac{3}{7}$$

Divide each term of 2x-4 by 9 to get \frac{2}{9}x-\frac{4}{9}.

$$\frac{2}{9}x-\frac{4}{9}=\frac{3}{7}$$

Add \frac{4}{9} to both sides.

$$\frac{2}{9}x=\frac{3}{7}+\frac{4}{9}$$

Least common multiple of 7 and 9 is 63. Convert \frac{3}{7} and \frac{4}{9} to fractions with denominator 63.

$$\frac{2}{9}x=\frac{27}{63}+\frac{28}{63}$$

Since \frac{27}{63} and \frac{28}{63} have the same denominator, add them by adding their numerators.

$$\frac{2}{9}x=\frac{27+28}{63}$$

Add 27 and 28 to get 55.

$$\frac{2}{9}x=\frac{55}{63}$$

Multiply both sides by \frac{9}{2}, the reciprocal of \frac{2}{9}.

$$x=\frac{55}{63}\times \frac{9}{2}$$

Multiply \frac{55}{63} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{55\times 9}{63\times 2}$$

Do the multiplications in the fraction \frac{55\times 9}{63\times 2}.

$$x=\frac{495}{126}$$

Reduce the fraction \frac{495}{126} to lowest terms by extracting and canceling out 9.

$$x=\frac{55}{14}$$