Question

Solve the equation for x.

One-third (6 x minus 15) = one-half (10 x minus 4)
a.
-10
c.
StartFraction 1 Over 10 EndFraction
b.
1
d.
-1



Please select the best answer from the choices provided


A
B
C
D

Answer 1

D. -1

Explanation:

`(1)/(3) (6x - 15) = (1)/(2) (10x - 4)`

Begin by distributing the term outside of the parentheses to each term inside.

`2x - 5 = 5x - 2`

Now subtract 2x from each side to isolate the variable.

`- 5 = 3x - 2`

Add 2 to each side.

`- 3 = 3x`

Divide by 3 to solve for x.

`- 1 = x`