Solve x*42/7-15/8=320

$$x \times 4 \frac { 2 } { 7 } - 1 \frac { 5 } { 8 } = 320$$

Solve for x

$$x = \frac{18011}{240} = 75\frac{11}{240} \approx 75.045833333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 56, the least common multiple of 7,8.

$$8x\left(4\times 7+2\right)-7\left(8+5\right)=17920$$

Multiply 4 and 7 to get 28.

$$8x\left(28+2\right)-7\left(8+5\right)=17920$$

Add 28 and 2 to get 30.

$$8x\times 30-7\left(8+5\right)=17920$$

Multiply 8 and 30 to get 240.

$$240x-7\left(8+5\right)=17920$$

Add 8 and 5 to get 13.

$$240x-7\times 13=17920$$

Multiply -7 and 13 to get -91.

$$240x-91=17920$$

Add 91 to both sides.

$$240x=17920+91$$

Add 17920 and 91 to get 18011.

$$240x=18011$$

Divide both sides by 240.

$$x=\frac{18011}{240}$$