Question 96470
{{{5( 2q - 1) = -5 + 10q}}} Start with the given equation


{{{10q - 5 = -5 + 10q}}} Distribute


{{{10q=-5+10q+5}}}Add 5 to both sides



{{{10q-10q=-5+5}}} Subtract 10q from both sides



{{{0q=-5+5}}} Combine like terms on the left side



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



{{{0=0}}} Simplify


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