Question

Which value of x is the solution of the equation

2( x-4) + 7= 3?

1. 1

2.2
3 . 6
4 . 0

Answer 1

The solution to the equation 2(x - 4) + 7 = 3 is x = 2, after simplifying and solving for x.

Step-by-step explanation:

The student has asked which value of x is the solution of the equation 2(x - 4) + 7 = 3. To find the solution, we first simplify and solve for x:

• 2(x - 4) + 7 = 3
• 2(x - 4) = 3 - 7
• 2(x - 4) = -4
• x - 4 = -2
• x = -2 + 4
• x = 2

Therefore, the correct solution for x is 2.

Answer 2

Distribute the outside terms through the terms inside the parenthesis.

2(x - 4) + 7 = 3

2x - 8 + 7 = 3

Combine like terms.

2x - 1 = 3

Add 1 to both sides of the equation.

2x = 4

Divide both sides by 2.

x = 2