Question

Equations with fractions; Show work!
3/2 (x + 8) = 6x

Answer 1

To solve for the unknown "x", let's first get rid of the parenthesis by multiplying out the 3/2 leaving us with:

3x/2 + 12 = 6x

Answer 2

Subtract 3x/2 from both sides of the equation leaving:

12 = 6x - 3x/2 = 9x/2

Answer 3

Multiply both sides by 2 leaving:

24 = 9x

Answer 4

Divide both side by 9 leaving:

x = 24 /9 or 8/3 or 2 and 2/3

Answer 5

Can you please show me it worked out on one comment!

Answer 6

3/2x + (3/2*8)=6x
3/2x + 12 = 6x
3/2x -6x = -12
x (3/2 - 6) = -12
x (3-12)/2 = -12
-9/2 x = -12
x = -12 * -2/9
x = 24 /9 or 8/3 or 2 and 2/3