If #5wx -x = 16w#, what does #x# = ?

1 Answer
Mar 6, 2018

# "The answer is:" \qquad \qquad \qquad \quad x \ = \ { 16 w } / { 5 w - 1 }. #

Explanation:

# "We want to solve for" \ \ x \ \ "in the equation:" #

# \qquad \qquad \qquad \qquad 5 w x - x \ = \ 16 w. \qquad \qquad color{blue}{"now factor" \ x \ "out on the LHS"} #

# \qquad \qquad \qquad \ x ( 5 w - 1 ) \ = \ 16 w \qquad \qquad \quad color{blue}{"now divide, and finish"} #

# \qquad \qquad \qquad \qquad \qquad \qquad \qquad x \ = \ { 16 w } / { 5 w - 1 }. #

# "This is our answer." #