168k views
4 votes
Help with this question 3m-7<5+6m​

User Glenc
by
7.3k points

2 Answers

1 vote

Hello I think, I could help with your question.

─── ・ 。゚☆: *.☽ .* :☆゚. ───

1. Simplifying

3m + -7 = 5 + 6m

────────────

2. Reorder the terms

-7 + 3m = 5 + 6m

────────────

3. Solving

-7 + 3m = 5 + 6m

────────────

4. Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right.

Add '-6m' to each side of the equation.

-7 + 3m + -6m = 5 + 6m + -6m

─────────────────────────────────

5. Combine like terms: 3m + -6m = -3m

-7 + -3m = 5 + 6m + -6m

───────────────────────────

6. Combine like terms: 6m + -6m = 0

-7 + -3m = 5 + 0

-7 + -3m = 5

────────────────────────

7. Add '7' to each side of the equation.

-7 + 7 + -3m = 5 + 7

────────────────────────

8. Combine like terms: -7 + 7 = 0

0 + -3m = 5 + 7

-3m = 5 + 7

────────────────────────

9. Combine like terms: 5 + 7 = 12

-3m = 12

─────────────────────

10. Divide each side by '-3'.

m = -4

──────────────────

11.Simplifying

m = -4

♡⃗ ! ˎˊ˗

User MaxYarmolinsky
by
8.4k points
1 vote

Answer:

-4

Step-by-step explanation:

  • Simplify

3m + -7 = 5 + 6m

  • Reorder the terms:

-7 + 3m = 5 + 6m

  • Solve

-7 + 3m = 5 + 6m

  • Solve for variable 'm'.

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

  • Add '-6m' to each side of the equation.

-7 + 3m + -6m = 5 + 6m + -6m

  • Combine like terms: 3m + -6m = -3m

-7 + -3m = 5 + 6m + -6m

  • Combine like terms: 6m + -6m = 0

-7 + -3m = 5 + 0

-7 + -3m = 5

  • Add '7' to each side of the equation.

-7 + 7 + -3m = 5 + 7

  • Combine like terms: -7 + 7 = 0

0 + -3m = 5 + 7

-3m = 5 + 7

  • Combine like terms: 5 + 7 = 12

-3m = 12

  • Divide each side by '-3'.

m = -4

  • Simplify

m = -4

User ChristianMurschall
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories