# What is the value of #x# in the equation #(3/4)x + 2 = (5/4)x - 6# ?

##### 3 Answers

Apr 17, 2018

#### Explanation:

Apr 17, 2018

#### Explanation:

Re-arrange the equation.

Add

Multiply out

Multiply it all by 4:

Solve:

Apr 17, 2018

#### Explanation:

#"collect terms in x on one side of the equation and"#

#"numeric values on the other side"#

#"subtract "3/4x" from both sides"#

#cancel(3/4x)cancel(-3/4x)+2=5/4x-3/4x-6#

#rArr2=1/2x-6#

#"add 6 to both sides"#

#2+6=1/2xcancel(-6)cancel(+6)#

#rArr8=1/2x#

#"multiply both sides by 2"#

#rArrx=16" is the solution"#