Solve 4/8+9=13/7+2x/3

$$\frac { 4 } { 8 } + 9 = \frac { 13 } { 7 } + \frac { 2 x } { 3 }$$

Solve for x

$$x = \frac{321}{28} = 11\frac{13}{28} \approx 11.464285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 168, the least common multiple of 8,7,3.

$$21\times 4+1512=312+56\times 2x$$

Multiply 21 and 4 to get 84.

$$84+1512=312+56\times 2x$$

Add 84 and 1512 to get 1596.

$$1596=312+56\times 2x$$

Multiply 56 and 2 to get 112.

$$1596=312+112x$$

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

$$312+112x=1596$$

Subtract 312 from both sides.

$$112x=1596-312$$

Subtract 312 from 1596 to get 1284.

$$112x=1284$$

Divide both sides by 112.

$$x=\frac{1284}{112}$$

Reduce the fraction \frac{1284}{112} to lowest terms by extracting and canceling out 4.

$$x=\frac{321}{28}$$