214k views
4 votes
3(x - 6) + 6 = 5x - 6. what is the solution


2 Answers

7 votes

Answer: x = -3

Explanation:

1. Distribute the 3 into the parenthesis

3x - 18 + 6 = 5x - 6

2. Combine like terms (on the left side of the equation

3x - 12 = 5x - 6

3. Add 6 to both sides to get rid of the -6 on the right side

3x - 6 = 5x

4. Subtract 3x from both sides to get rid of the 3x from the left side

-6 = 2x

5. Divide both sides by 2

-3 = x

User Adam Prescott
by
8.3k points
5 votes

Answer:

x=-3

Explanation:

Step 1: Simplify both sides of the equation.

3(x−6)+6=5x−6

(3)(x)+(3)(−6)+6=5x+−6(Distribute)

3x+−18+6=5x+−6

(3x)+(−18+6)=5x−6(Combine Like Terms)

3x+−12=5x−6

3x−12=5x−6

Step 2: Subtract 5x from both sides.

3x−12−5x=5x−6−5x

−2x−12=−6

Step 3: Add 12 to both sides.

−2x−12+12=−6+12

−2x=6

Step 4: Divide both sides by -2.

−2x

−2

=

6

−2

x=−3

User Joshua Evensen
by
8.4k 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