How do you solve #7x + 4 = 3x + 7#?
1 Answer
Apr 9, 2018
Explanation:
#"collect terms in x on the left side and numeric values on"#
#"the right side of the equation"#
#"subtract 3x from both sides"#
#7x-3x+4=cancel(3x)cancel(-3x)+7#
#rArr4x+4=7#
#"subtract 4 from both sides"#
#4xcancel(+4)cancel(-4)=7-4#
#rArr4x=3#
#"divide both sides by 4"#
#(cancel(4) x)/cancel(4)=3/4#
#rArrx=3/4#
#color(blue)"As a check"# Substitute this value into the equation and if both sides are equal then it is the solution.
#"left "=21/4+16/4=37/4#
#"right "=9/4+28/4=37/5#
#rArrx=3/4" is the solution"#