The equation below has one solution. 9x-10=3x+2 What is the solution to the equation?

A. - 2

B. - 1

C. 1

D. 2

Steps:

9x-10 = 3x+2

9x-3x-10 = 3x-3x+2 Move positive 3 to the other side. Sign changes from positive to negative number.

6x-10=2

Move negative - 10 to other side. Sign changes from negative to positive.

6x-10+10 = 2+10

6x = 12

Divide by 6 for 6x and 12

6x/6 = 12/6

x = 2

Check answer by using substitution method

9x-10 = 3x+2

9 (2) - 10 = 3 (2) + 2

18-10 = 6+2

8 = 8

Answer : x = 2 - D.

D: 2

Step-by-step explanation:

To solve, first move all of the variables to the left side of the equation.

9x-10=3x+2, Subtract 3x from both sides of the equation.

6x-10=2, Next, add 10 to both sides to isolate x.

6x=12, Now, divide both sides by 6 to solve for x.

x=2, The solution to the equation is 2 The answer is D.