Question

(m-2)-5=8-2(m-4) how do you solve this?

Answer 1

(m - 2) - 5 = 8 - 2(m - 4)

The objective is to isolate m (get m by itself). By PEMDAS, the first step is to get rid of the parentheses. Apply the distributive property - a(b + c) = ab + ac.

(m - 2) - 5 = 8 - 2(m - 4)

m - 2 - 5 = 8 - 2m + 8

Combine like terms (constants) on both sides.

m - 2 - 5 = 8 - 2m + 8

m - 7 = 16 - 2m

Add 7 to both sides to get rid of the constant on the left side of the equation.

m - 7 = 16 - 2m

m = 23 - 2m

Add 2m to both sides to get rid of the variable term on the right side of the equation.

3m = 23

Divide both sides by 3 to isolate m.

3m = 23

m =
`7(2)/(3)`

Answer:

m =
`7(2)/(3)`

Answer 2

First, simplify both sides:

(m - 2) - 5 = m - 7

8 - 2 * (m - 4j = 8 - 2m + 8 = 16 - 2m

So,

m - 7 = 16 - 2m

Now, add 2m to both sides:

3m - 7 = 16

Then add 7 to both sides:

3m = 23

Divide both sides by 3:

m = 23/3