Solve x-74/5=42/7

$$x-7 \frac{ 4 }{ 5 } =4 \frac{ 2 }{ 7 }$$

Solve for x

$$x = \frac{423}{35} = 12\frac{3}{35} \approx 12.085714286$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 35, the least common multiple of 5,7.

$$35x-7\left(7\times 5+4\right)=5\left(4\times 7+2\right)$$

Multiply 7 and 5 to get 35.

$$35x-7\left(35+4\right)=5\left(4\times 7+2\right)$$

Add 35 and 4 to get 39.

$$35x-7\times 39=5\left(4\times 7+2\right)$$

Multiply -7 and 39 to get -273.

$$35x-273=5\left(4\times 7+2\right)$$

Multiply 4 and 7 to get 28.

$$35x-273=5\left(28+2\right)$$

Add 28 and 2 to get 30.

$$35x-273=5\times 30$$

Multiply 5 and 30 to get 150.

$$35x-273=150$$

Add 273 to both sides.

$$35x=150+273$$

Add 150 and 273 to get 423.

$$35x=423$$

Divide both sides by 35.

$$x=\frac{423}{35}$$