1/5(x-2)=1/10(x+6) Distribute and multiply first (1/5*x) -(1/5*2)=(1/10*x) +(1/10*6) 1/5x-2/5=1/10x+6/10
We do not have the same denominators on both sides. 5 goes into 10 two times so we will multiply everything on the left by 2 to get a common denominator. 2/10x-4/10=1/10x+6/10 Subtract 1/10x from both sides 1/10x-4/10=6/10 Add 4/10 to both sides 1/10x=10/10 1/10x= 1 Multiply both sides by 10/1 (the fraction inverse) to get rid of the fraction.
(10/1)(1/10x) =(1)(10/1) x= 10
Check work: 1/5(x-2)=1/10(x+6) Substitute your answer for x 1/5(10-2)=1/10(10+6) 1/5(8)=1/10(16) 8/5=16/10 Simplify 16/10 by dividing by 2 8/5=8/5
