Solve 450+(m-5)*195=(m-2)*180

$$450 + ( m - 5 ) \times 195 = ( m - 2 ) \times 180$$

Solve for m

$$m=11$$

Steps for Solving Linear Equation

Use the distributive property to multiply m-5 by 195.

$$450+195m-975=\left(m-2\right)\times 180$$

Subtract 975 from 450 to get -525.

$$-525+195m=\left(m-2\right)\times 180$$

Use the distributive property to multiply m-2 by 180.

$$-525+195m=180m-360$$

Subtract 180m from both sides.

$$-525+195m-180m=-360$$

Combine 195m and -180m to get 15m.

$$-525+15m=-360$$

Add 525 to both sides.

$$15m=-360+525$$

Add -360 and 525 to get 165.

$$15m=165$$

Divide both sides by 15.

$$m=\frac{165}{15}$$

Divide 165 by 15 to get 11.

$$m=11$$