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1 vote
5m + 8 and -2m - 6. Could i get the answer and an explanation?

User Antonis
by
3.8k points

2 Answers

13 votes
5m+8=-2m-6
Add 2 to 5
7m+8=-6
Subtract 8 from -6
7m=-14
Divide 14 by 7
M=2
6 votes

Answer:

m=-5

Explanation:

Simplifying

5m + -6 = 8m + 9

Reorder the terms:

-6 + 5m = 8m + 9

Reorder the terms:

-6 + 5m = 9 + 8m

Solving

-6 + 5m = 9 + 8m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-8m' to each side of the equation.

-6 + 5m + -8m = 9 + 8m + -8m

Combine like terms: 5m + -8m = -3m

-6 + -3m = 9 + 8m + -8m

Combine like terms: 8m + -8m = 0

-6 + -3m = 9 + 0

-6 + -3m = 9

Add '6' to each side of the equation.

-6 + 6 + -3m = 9 + 6

Combine like terms: -6 + 6 = 0

0 + -3m = 9 + 6

-3m = 9 + 6

Combine like terms: 9 + 6 = 15

-3m = 15

Divide each side by '-3'.

m = -5

Simplifying

m = -5

User Michael Kemmerzell
by
4.6k points