Solve 5x+63/14=122/7

$$5 x + 6 \frac { 3 } { 14 } = 12 \frac { 2 } { 7 }$$

Solve for x

$$x = \frac{17}{14} = 1\frac{3}{14} \approx 1.214285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 14,7.

$$70x+6\times 14+3=2\left(12\times 7+2\right)$$

Multiply 6 and 14 to get 84.

$$70x+84+3=2\left(12\times 7+2\right)$$

Add 84 and 3 to get 87.

$$70x+87=2\left(12\times 7+2\right)$$

Multiply 12 and 7 to get 84.

$$70x+87=2\left(84+2\right)$$

Add 84 and 2 to get 86.

$$70x+87=2\times 86$$

Multiply 2 and 86 to get 172.

$$70x+87=172$$

Subtract 87 from both sides.

$$70x=172-87$$

Subtract 87 from 172 to get 85.

$$70x=85$$

Divide both sides by 70.

$$x=\frac{85}{70}$$

Reduce the fraction \frac{85}{70} to lowest terms by extracting and canceling out 5.

$$x=\frac{17}{14}$$