How do you solve #4x-6=-2x-13#?

1 Answer
Apr 1, 2017

Answer:

#x=-7/6#

Explanation:

Collect terms in x on the left side of the equation and numeric values on the right side.

add 2x to both sides.

#4x+2x-6=cancel(-2x)cancel(+2x)-13#

#rArr6x-6=-13#

add 6 to both sides.

#6xcancel(-6)cancel(+6)=-13+6#

#rArr6x=-7#

divide both sides by 6

#(cancel(6) x)/cancel(6)=(-7)/6#

#rArrx=-7/6#

#color(blue)"As a check"#

Substitute this value into the equation and if the left side equals the right side then it is the solution.

#"left side "=(4xx-7/6)-6=-14/3-18/3=-32/3#

#"right side "=(-2xx-7/6)-13=7/3-39/3=-32/3#

#rArrx=-7/6" is the solution"#