Solve 4.5(1.2-m)=2.4(-2m+2.1)

$$4.5 ( 1.2 - m ) = 2.4 ( - 2 m + 2.1 )$$

Solve for m

$$m=-1.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4.5 by 1.2-m.

$$5.4-4.5m=2.4\left(-2m+2.1\right)$$

Use the distributive property to multiply 2.4 by -2m+2.1.

$$5.4-4.5m=-4.8m+5.04$$

Add 4.8m to both sides.

$$5.4-4.5m+4.8m=5.04$$

Combine -4.5m and 4.8m to get 0.3m.

$$5.4+0.3m=5.04$$

Subtract 5.4 from both sides.

$$0.3m=5.04-5.4$$

Subtract 5.4 from 5.04 to get -0.36.

$$0.3m=-0.36$$

Divide both sides by 0.3.

$$m=\frac{-0.36}{0.3}$$

Expand \frac{-0.36}{0.3} by multiplying both numerator and the denominator by 100.

$$m=\frac{-36}{30}$$

Reduce the fraction \frac{-36}{30} to lowest terms by extracting and canceling out 6.

$$m=-\frac{6}{5}$$