Answer:
The value of x is -3.
Explanation:
Given the equation:
[tex]4\mleft(2x+3\mright)=3x+3+2x[/tex]Step 1: Distribute 4 in the left-hand side.
[tex]\begin{gathered} 4\mleft(2x)+4(3\mright)=3x+3+2x \\ 8x+12=3x+2x+3 \\ 8x+12=5x+3 \end{gathered}[/tex]Step 2: Collect like terms.
[tex]\begin{gathered} 8x-5x=3-12 \\ 3x=-9 \end{gathered}[/tex]Step 3: Divide both sides by 3.
[tex]\begin{gathered} \frac{3x}{3}=-\frac{9}{3} \\ x=-3 \end{gathered}[/tex]The value of x is -3.
