Algebra 1: Common Core (15th Edition)

$x=-90$
In order to simplify this expression, we first need to write the x terms as fractions with a common denominator. Thus, we multiply 2/3 by 5/5 and 3/5 by 3/3 to get: $10/15x +4=9/15x -2$. This allows us to subtract 9/15 x on both sides to obtain: $1/15x+4=-2$. We subtract 4 on both sides to get that $1/15x=-6$. We now need to cancel out the fraction, so we multiply both sides of the equation by the reciprocal of 1/15, 15/1, to obtain that $x=-90$.