Question

Solve for x.4(2x + 3) = 3x + 3 + 2x

Answer 1

The value of x is -3.

Step-by-step explanation:

Given the equation:

`4\mleft(2x+3\mright)=3x+3+2x​`

Step 1: Distribute 4 in the left-hand side.

`\begin{gathered} 4\mleft(2x)+4(3\mright)=3x+3+2x​ \\ 8x+12=3x+2x​+3 \\ 8x+12=5x​+3 \end{gathered}`

Step 2: Collect like terms.

`\begin{gathered} 8x-5x=3-12 \\ 3x=-9 \end{gathered}`

Step 3: Divide both sides by 3.

`\begin{gathered} (3x)/(3)=-(9)/(3) \\ x=-3 \end{gathered}`

The value of x is -3.