Question

How many solutions does 6-3x= 12 - 6x have?

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

Answer 1

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

Answer 2

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