Solve 7(-3m+5)=3(10-6m)

$$7 ( - 3 m + 5 ) = 3 ( 10 - 6 m )$$

Solve for m

$$m = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by -3m+5.

$$-21m+35=3\left(10-6m\right)$$

Use the distributive property to multiply 3 by 10-6m.

$$-21m+35=30-18m$$

Add 18m to both sides.

$$-21m+35+18m=30$$

Combine -21m and 18m to get -3m.

$$-3m+35=30$$

Subtract 35 from both sides.

$$-3m=30-35$$

Subtract 35 from 30 to get -5.

$$-3m=-5$$

Divide both sides by -3.

$$m=\frac{-5}{-3}$$

Fraction \frac{-5}{-3} can be simplified to \frac{5}{3} by removing the negative sign from both the numerator and the denominator.

$$m=\frac{5}{3}$$