# 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"#