How do you solve #28 = 14+ 7( x - 6)#?

2 Answers
May 23, 2018

Answer:

#x=8#

Explanation:

#28=14+7(x-6)#

Expand the brackets
#28=14+7x-42#

Place all the numbers on one side
#28-14+42=7x#

Add the numbers together
#7x=56#

Divide both sides by 7
#x=8#

May 23, 2018

Answer:

#x=8#

Explanation:

#"distribute the bracket on right side of the equation"#

#28=14+7x-42#

#"simplify right side"#

#28=7x-28#

#56=7x#

#"divide both sides by 7"#

#56/7=(cancel(7) x)/(cancel(7)#

#x=8#

#color(blue)"As a check"#

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

#14+7(8-6)=14+(7xx2)=14+14=28#

#"hence "x=8" is the solution"#