Q:

11. Solve 5(2x – 3) = x – 15 + 9x for x.

Accepted Solution

A:
Answer: [tex]\boxed{\bold{True \ For \ All \ x}}[/tex]Explanation:[ Step One ] Group Like Terms[tex]\bold{5\left(2x-3\right)=x+9x-15}[/tex][ Step Two ] Combine Similar Elements: [tex]\bold{x+9x=10x}[/tex][tex]\bold{5\left(2x-3\right)=10x-15}[/tex][ Step Three ] Expand [tex]\bold{5\left(2x-3\right): \ 10x-15}[/tex][tex]\bold{10x-15=10x-15}[/tex][ Step Four ] Add 15 To Both Sides[tex]\bold{10x-15+15=10x-15+15}[/tex][ Step Five ] Simplify[tex]\bold{10x=10x}[/tex][ Step Six ] Subtract 10x From Both Sides[tex]\bold{10x-10x=10x-10x}[/tex][ Step Seven ] Simplify[tex]\bold{0=0}[/tex][ [tex]\boxed{\bold{Final \ Answer}}[/tex] ]➀ [tex]\bold{Both \ Sides \ Are \ Equal, \ True \ For \ All \ x}[/tex][tex]\boxed{\bold{Mordancy}}[/tex]