Step 1. Expand
[tex]2x-6+1=3x+4[/tex]
Step 2. Simplify [tex]2x-6+1[/tex] to [tex]2x-5[/tex]
[tex]2x-5=3x-4[/tex]
Step 3. Subtract [tex]2x[/tex] from both sides
[tex]-5=3x+4-2x[/tex]
Step 4. Simplify [tex]3x+4-2x[/tex] to [tex]x+4[/tex]
[tex]-5=x+4[/tex]
Step 5. Subtract 4 from both sides
[tex]-5-4=x[/tex]
Step 6. Simplify [tex]-5-4[/tex] to [tex]-9[/tex]
[tex]-9=x[/tex]
Step 7. Switch sides
[tex]x=-9[/tex]
Done! Your answer is [tex]x=-9[/tex]
