Solve x*42/7-15/8=33/20

$$x \times 4 \frac{ 2 }{ 7 } -1 \frac{ 5 }{ 8 } = 3 \frac{ 3 }{ 20 }$$

Solve for x

$$x = \frac{1337}{1200} = 1\frac{137}{1200} \approx 1.114166667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 280, the least common multiple of 7,8,20.

$$40x\left(4\times 7+2\right)-35\left(8+5\right)=14\left(3\times 20+3\right)$$

Multiply 4 and 7 to get 28.

$$40x\left(28+2\right)-35\left(8+5\right)=14\left(3\times 20+3\right)$$

Add 28 and 2 to get 30.

$$40x\times 30-35\left(8+5\right)=14\left(3\times 20+3\right)$$

Multiply 40 and 30 to get 1200.

$$1200x-35\left(8+5\right)=14\left(3\times 20+3\right)$$

Add 8 and 5 to get 13.

$$1200x-35\times 13=14\left(3\times 20+3\right)$$

Multiply -35 and 13 to get -455.

$$1200x-455=14\left(3\times 20+3\right)$$

Multiply 3 and 20 to get 60.

$$1200x-455=14\left(60+3\right)$$

Add 60 and 3 to get 63.

$$1200x-455=14\times 63$$

Multiply 14 and 63 to get 882.

$$1200x-455=882$$

Add 455 to both sides.

$$1200x=882+455$$

Add 882 and 455 to get 1337.

$$1200x=1337$$

Divide both sides by 1200.

$$x=\frac{1337}{1200}$$