Given
[tex]4x-5+2(x-3)=12x+7[/tex]Solution
Step 1
Expand
[tex]\begin{gathered} 4x-5+2x-6=12x+7 \\ \end{gathered}[/tex]step 2
separate the similar terms
[tex]4x+2x-12x=7+5+6[/tex]Step 3
Simplify
[tex]\begin{gathered} 6x-12x=18 \\ -6x=18 \\ \end{gathered}[/tex]Step 4
Divide both sides by -6
[tex]\begin{gathered} -\frac{6x}{-6}=\frac{18}{-6} \\ \\ x=-3 \end{gathered}[/tex]The final answer
[tex]x=-3[/tex]