Question

Given 15 = 3 (2x + 4) - 3Prove x = 1Complete the proof. Provide reasons for 1-6 below. Make sure to number your answers.StatementsReasons1.15 = 3 (2x + 4) – 318 = 3 (2x + 4)18 = 6x + 122.3.16 = 6x4.1 = x5.16.x = 1ToolsTable

Answer 1

1. We must solve the equation

`15=3(2x+4)-3`

in order to find the value of x.

2. Because of the addition property of equality, if we add 3 to both sides of the equation we get

`18=3(2x+4)`

3. We multiply the 3 on the right side of the equation by what's inside the parentheses (2x+4) and we get

`18=6x+12`

4. Because of the subtraction property of equality, if we subtract 12 from both sides of the equation, it results in

`6=6x`

5. Because of the division property of equality, if we divide both sides of the equation by 6, then

`1=x`

6. Thus,

`x=1`