How do you solve #8-5(x+3)=2#?

4 Answers
Jun 14, 2018

Expand the bracket

#8-5x-15=2#

collect like terms

#-5x-7=2#

add #5x#

#-7=2+5x#

subtract 2

#-9=5x#

divide by 5

#-9/5=x#

Jun 14, 2018

Answer:

#x=-9/5#

Explanation:

#"distribute bracket and simplify"#

#8-5x-15=2#

#-5x-7=2#

#"add 7 to both sides"#

#-5x=2+7=9#

#"divide both sides by "-5#

#x=9/(-5)=-9/5#

#color(blue)"As a check"#

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

#8-5(-9/5+15/5)=8-(5xx6/5)=8-6=2#

#x=-9/5" is the solution"#

Answer:

#x = -9/5 = -1.8#

Explanation:

1) Eliminate the brackets: Multiply the #-5# into the bracket.

#-5(x)" "# and #" "-5(3)#

You should get:

#8-5x-15=2#

2) Common Factor: Take the #8# and add it to #-15#.

#-15 + 8#

You should get:

#-5x-7=2#

3) Get the #x# alone: Take the #-7# over to the other side so it turns into a positive:

#-5x=2+7#

# -5x=9#

Then to get the #x# completely alone, you have to divide both sides by #-5# because the opposite of multiplication is division and what you do to one side, you have to do to the other.

You should get:

#x = 9/-5 = -1.8#

Jun 14, 2018

Answer:

#x=-9/5#

Explanation:

Let's start by distributing the #-5# to both of the terms in parenthesis. Doing this, we will get:

#-5x+8-15=2#

Which simplifies to

#-5x-7=2#

Adding #7# to both sides gives us

#-5x=9#

Lastly, dividing both sides by #-5#, we get

#x=-9/5#

Hope this helps!