Question

solve:(5x - 1)/2 + (-3x - 1)/4 = 9/2
can someone show my how to do this step by step

Answer 1

(5x-1)/2 + (-3x-1)/4 = 9/2
get common denoominator 4 x 2 = 8
so now we have 2 into 8 goes 4 multiplied by (5x-1)
and 4 into 8 goes 2 multiplied by (-3x-1)
all over 8.lets write it out:
[4(5x-1) + 2(-3x-1)] /8 = 9/2
now lets cross multiply to get rid of fractions
2 [4(5x-1)+2(-3x-1)] = 8 x 9
2[(20x-4)+(-6x-2)] = 72
2[20x-6x-4-2]=72
2[14x-6]=72
28x-12=72
28x=72+12
28x=84
x=84/28
x=3
need to check this answer to be sure its right!
I have and it is correct!