Solve for x 7+5x-2=3x-4(3-x) What is x?

3 Answers

Answer:

#x=8.5#

Explanation:

#7+5x-2=3x-4(3-x)#
#7+5x-2=3x-12+4x#
#2x=17#
#x=17/2#
#x=8.5#

Feb 28, 2018

Answer:

#x=8.5#

Explanation:

#5x+5=3x-12+4x#
#5x+5=7x-12#
#17=2x#
#x=8.5#

Feb 28, 2018

Answer:

17/2

Explanation:

Let's take the initial equation:
#7 + 5x - 2 = 3x-4(3-x)#
We can simplify the left hand side by adding #7# and #-2#
#5x + 5 = 3x-4(3-x)#:
We can simplify the right hand side by multiplying #3# and #-x# by #-4#:
#5x + 5 = 3x-12+4x#
We can simplify again by adding #3x# and #-4x#:
#5 + 5x = 7x-12#
Now let's subtract #5# from both sides and subtract #7x# from both sides to move all #x# values to one side of the equation:
#(5 + 5x) - 5 = (7x-12) - 5#
#5x = 7x-17#
#(5x) - 7x = (7x-17) - 7x#
#- 2x = -17#
Divide both sides by #-2# and we have our answer.
#x = (-17)/-2#
#x = 17/2#