Question 112223


{{{2(a-8)+7=5(a+2)-3a-19}}} Start with the given equation




{{{2a-16+7=5a+10-3a-19}}} Distribute



{{{2a-9=5a+10-3a-19}}} Combine like terms on the left side



{{{2a-9=2a-9}}} Combine like terms on the right side



{{{2a=2a-9+9}}}Add 9 to both sides



{{{2a-2a=-9+9}}} Subtract 2a from both sides



{{{0a=-9+9}}} Combine like terms on the left side



{{{0a=0}}} Combine like terms on the right side



{{{0=0}}} Simplify


Since this equation is always true for any "a" value, this means "a" can equal any number. So there are an infinite number of solutions.