Respuesta :
Answer:
Simplify the left side.
6x−6=9(x+2)6x-6=9(x+2)
Simplify 9(x+2)9(x+2).
6x−6=9x+186x-6=9x+18
Move all terms containing xx to the left side of the equation.
−3x−6=18-3x-6=18
Move all terms not containing xx to the right side of the equation.
−3x=24-3x=24
Divide each term by −3-3 and simplify.
x=−8
Answer:
The value of the equation for x is -8.
Step-by-step explanation:
Consider the provided equation.
[tex]6(x-1)=9(x+2)[/tex]
We need to solve the equation for x.
Distributive property:
[tex]a(b+c)=ab+ac[/tex]
Use the above property to solve the provided equation.
[tex]6x-6=9x+18[/tex]
Subtract 6x from both the sides.
[tex]6x-6-6x=9x-6x+18[/tex]
[tex]-6=3x+18[/tex]
Subtract 18 from both the sides.
[tex]-6-18=3x+18-18[/tex]
[tex]-24=3x[/tex]
Divide both the sides by 3.
[tex]x=-8[/tex]
Hence, the value of the equation for x is -8.
