What is the solution to the linear equation?

2/3x –1/2 = 1/3 +5/6 x

a. x=-5
b. x= - 1/6
c. x= 1/6
d. x=5

First, you want to make all your fractions have a common denominator. Your common denominator would be 6, so multiplying each /3 fraction by 2 and each /2 fraction by 3, you get 4/6x-3/6=2/6+5/6x. You can now combine your fractions getting (4x-3)/6=(2+5x)/6. Now, reduce out the fractions to get 4x-3=2+5x, subtract 4x from both sides, -3=2+x, subtract 2 from both sides, x=-5, or answer choice A.

1. 0.3 •4 is the same as 4 groups of 0.32. 7•0.8 is the same as 7 groups of 0.83. it increases by 0.5 every time, so 0.5x4 it increases by 0.9 every time, so 0.9x5. 0.9•12=10.86. 0.47•5=2.35i can finish the next ones in a separate post