Question

Please show your work!

3(5x - 6) = 6(2x - 12)

Answer 1

x= 17.666666...

Explanation:

3(5x - 6) = 6(2x - 12)

(3 times 5x , 3 times -6) (6 times 2x, 6 times - 12)

15x-18 = 12x -72 (multiply insides)

-12x -12x (remove 12x from right side)

3x-19 = -72 (product)

+19 = +19 (add 19 left side to remove it)

3x = 53 (product)

x =
`(53)/(3)` (divide)

x= 17.666666... (answer)

x = 17.67 (if simplify)

Answer 2

x = -18

Explanation:

Distribute: 3*5x = 15x ; 3*-6 = -18 ; 6*2x = 12x ; 6*-12 = -72

15x - 18 = 12x - 72

Add 18 to both sides: 15x = 12x - 54

Subtract 12x from both sides: 3x = -54

Divide both sides by 3: x = -18