Solve (100-1.2)x/283=100-17/273+57

$$\frac { ( 100 - 1.2 ) x } { 283 } = \frac { 100 - 17 } { 273 + 57 }$$

Solve for x

$$x=\frac{23489}{32604}\approx 0.720433076$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 283.

$$\left(100-1.2\right)x=\frac{283}{330}\left(100-17\right)$$

Subtract 1.2 from 100 to get 98.8.

$$98.8x=\frac{283}{330}\left(100-17\right)$$

Subtract 17 from 100 to get 83.

$$98.8x=\frac{283}{330}\times 83$$

Express \frac{283}{330}\times 83 as a single fraction.

$$98.8x=\frac{283\times 83}{330}$$

Multiply 283 and 83 to get 23489.

$$98.8x=\frac{23489}{330}$$

Divide both sides by 98.8.

$$x=\frac{\frac{23489}{330}}{98.8}$$

Express \frac{\frac{23489}{330}}{98.8} as a single fraction.

$$x=\frac{23489}{330\times 98.8}$$

Multiply 330 and 98.8 to get 32604.

$$x=\frac{23489}{32604}$$