Solve (330-x)*176/308=(330+x)*165/330

$$\frac{ (330-x) \times 176 }{ 308 } = \frac{ (330+x) \times 165 }{ 330 }$$

Solve for x

$$x=22$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4620, the least common multiple of 308,330.

$$15\left(330-x\right)\times 176=14\left(330+x\right)\times 165$$

Multiply 15 and 176 to get 2640.

$$2640\left(330-x\right)=14\left(330+x\right)\times 165$$

Use the distributive property to multiply 2640 by 330-x.

$$871200-2640x=14\left(330+x\right)\times 165$$

Multiply 14 and 165 to get 2310.

$$871200-2640x=2310\left(330+x\right)$$

Use the distributive property to multiply 2310 by 330+x.

$$871200-2640x=762300+2310x$$

Subtract 2310x from both sides.

$$871200-2640x-2310x=762300$$

Combine -2640x and -2310x to get -4950x.

$$871200-4950x=762300$$

Subtract 871200 from both sides.

$$-4950x=762300-871200$$

Subtract 871200 from 762300 to get -108900.

$$-4950x=-108900$$

Divide both sides by -4950.

$$x=\frac{-108900}{-4950}$$

Divide -108900 by -4950 to get 22.

$$x=22$$