Answer: [tex]x=-8[/tex]
Step-by-step explanation:
Step 1: Simplify both sides of the equation
[tex]6(x-1)=9(x+2)[/tex]
[tex](6)(x)+(6)(−1)=(9)(x)+(9)(2)[/tex] [tex](Distribute)[/tex]
[tex]6x+-6=9x+18[/tex]
[tex]6x-6=9x+18[/tex]
Step 2: Subtract 9x from both sides
[tex]6x-6-9x=9x+18-9x[/tex]
[tex]-3x-6=18[/tex]
Step 3: Add 6 to both sides
[tex]-3x-6+6=18+6[/tex]
[tex]-3x=24[/tex]
Step 4: Divide both sides by -3
[tex]-3x/3=24/-3[/tex]
Answer:
[tex]x=-8[/tex]
