201k views
2 votes
How many solutions does 6-3x= 12 - 6x have?

O A. One solution
OB. Two solutions
C. Infinitely many solutions
D. No solutions

User Amik
by
8.2k points

2 Answers

4 votes

Answer: A. One Solution

Explanation:

Simplifying

6 + -3x = 12 + -6x

Solving

6 + -3x = 12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.

6 + -3x + 6x = 12 + -6x + 6x

Combine like terms: -3x + 6x = 3x

6 + 3x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0

6 + 3x = 12 + 0

6 + 3x = 12

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

6 + -6 + 3x = 12 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = 12 + -6

3x = 12 + -6

Combine like terms: 12 + -6 = 6

3x = 6

Divide each side by '3'.

x = 2

Simplifying

x = 2

User Vasu Mistry
by
7.7k points
3 votes

Answer:

A. One solution

Explanation:

To find out, we solve the equation.

6 - 3x = 12 - 6x

Add 6x to both sides. Subtract 6 from both sides.

3x = 6

Divide both sides by 3.

x = 2

Answer: A. One solution

User Rok Dolinar
by
7.9k 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