Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]3(2x+2)=18+4(x-5)[/tex]
Distribute the left and the right:
[tex]3(2x)+3(2)=18+4(x)+4(-5)[/tex]
Simplify:
[tex]6x+6=18+4x-20[/tex]
Combine on the right:
[tex]6x+6=4x-2[/tex]
Subtract 4x from both sides. The right cancels:
[tex](6x+6)-4x=(4x-2)-4x\\2x+6=-2[/tex]
Subtract 6 from both sides. The left cancels:
[tex](2x+6)-6=(-2)-6\\2x=-8[/tex]
Divide both sides by 2:
[tex](2x)/2=(-8)/2\\x=-4[/tex]
Thus, the value of x is -4.
