x=-9
Explanation
Step 1
apply the distributive property to eliminate the parenthesis
remember:
[tex]a(b+c)=ab+ac[/tex]then
[tex]\begin{gathered} 5(x+4)-3x+3=5 \\ 5\cdot x+5\cdot4-3x+3=5 \\ 5x+20-3x+3=5 \end{gathered}[/tex]Step 2
add similar terms,
[tex]\begin{gathered} 5x+20-3x+3=5 \\ (5x-3x)+(20+3)=5 \\ 2x+23=5 \end{gathered}[/tex]Step 3
subtract 23 in both sides
[tex]\begin{gathered} 2x+23=5 \\ 2x+23-23=5-23 \\ 2x=-18 \end{gathered}[/tex]Step 4
finally, divide each side by 2
[tex]\begin{gathered} 2x=-18 \\ \frac{2x}{2}=\frac{-18}{2} \\ x=-9 \end{gathered}[/tex]Hence , the answer is x=-9
