Solve 2(5-m)=5(6+m)

$$2 ( 5 - m ) = 5 ( 6 + m )$$

Solve for m

$$m = -\frac{20}{7} = -2\frac{6}{7} \approx -2.857142857$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 5-m.

$$10-2m=5\left(6+m\right)$$

Use the distributive property to multiply 5 by 6+m.

$$10-2m=30+5m$$

Subtract 5m from both sides.

$$10-2m-5m=30$$

Combine -2m and -5m to get -7m.

$$10-7m=30$$

Subtract 10 from both sides.

$$-7m=30-10$$

Subtract 10 from 30 to get 20.

$$-7m=20$$

Divide both sides by -7.

$$m=\frac{20}{-7}$$

Fraction \frac{20}{-7} can be rewritten as -\frac{20}{7} by extracting the negative sign.

$$m=-\frac{20}{7}$$