Answer :

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]