How do you solve #\frac { 3x + 6} { 4} = \frac { 2x - 3} { 5}#?

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Answer 1 · 2017-10-04T20:15:50

#x=-6#

To start, we want to get rid of the fractions to make it easier to work with.
So we can multiply the equation by 4 on each side.

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

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

Now multiply by 4.

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

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

Expand the brackets.

#15x+30=8x-12#

You can now bring all of the x's to one side and numbers to the other.

#7x=-42#

Divide through by 7 to leave x on its own.

#x=-6#