Question

3. Which value of x will make the following statement true?3 (x + 4)- 4 (x– 11) = 5x +8

Answer 1

x = 8

Step-by-step explanation:

To know the value of x that makes the statement true, we need to solve the expression for x. So, if we apply the distributive property, we get:

`\begin{gathered} 3(x+4)-4(x-11)=5x+8 \\ (3\cdot x)+(3\cdot4)-(4\cdot x)-(4\cdot-11)=5x+_{}8 \\ 3x+12-4x+44=5x+8 \\ -x+56=5x+8 \end{gathered}`

Then, add x to both sides:

`\begin{gathered} -x+56+x=5x+8+x \\ 56=6x+8 \end{gathered}`

Subtract 8 from both sides:

`\begin{gathered} 56-8=6x+8-8 \\ 48=6x \end{gathered}`

Finally, divide by 6:

`\begin{gathered} (48)/(6)=(6x)/(6) \\ 8=x \end{gathered}`

Therefore, the value of x that makes the statement true is x = 8.