Answer:
[tex]x=15[/tex]
Step-by-step explanation:
we have
[tex]2.5(6-2x)+11=104-1.5(6x+12)[/tex]
Distribute in both sides
[tex]2.5(6)-2.5(2x)+11=104-1.5(6x)-1.5(12)[/tex]
[tex]15-5x+11=104-9x-18[/tex]
Combine like terms in both sides
[tex]26-5x=86-9x[/tex]
group terms that contain the same variable
Adds 9x both sides
[tex]26-5x+9x=86-9x+9x[/tex]
[tex]26+4x=86[/tex]
Subtract 26 both sides
[tex]26+4x-26=86-26[/tex]
[tex]4x=60[/tex]
Divide by 4 both sides
[tex]4x/4=60/4[/tex]
[tex]x=15[/tex]
