Question

Solve the equation 3x + 1/2(2x + 6) = 6x + 1.A.x = 2/5B.x = 1C.x = 2D.x = 5/2

Answer 1

we have the equation

$3x+\frac{1}{2}(2x+6)=6x+1$

step 1

Apply distributive property second term left side

$\begin{gathered} 3x+\frac{1}{2}\cdot2x+\frac{1}{2}\cdot6=6x+1 \\ \\ 3x+x+3=6x+1 \end{gathered}$

step 2

Combine like terms left side

$4x+3=6x+1$

step 3

subtract 4x both sides

$\begin{gathered} 4x+3-4x=6x+1-4x \\ 3=2x+1 \end{gathered}$

step 4

subtract 1 both sides

$\begin{gathered} 3-1=2x+1-1 \\ 2=2x \end{gathered}$

step 5

Divide by 2 both sides

$\begin{gathered} \frac{2}{2}=\frac{2x}{2} \\ 1=x \\ x=1 \end{gathered}$

the answer is option B