Question

6(x−4) / 4= 3(x+3)/ 9

Answer 1

`\huge\boxed{x = 6}`

Explanation:

We can solve for the variable x in the equation:

`(6(x-4))/(4)=(3(x+3))/(9)`

with the following steps:

↓ multiplying both sides by 9 · 4 to cancel the denominators

`(9 \,\cdot\! \\ot\!4)\left[(6(x-4))/(\\ot\!4)\right]=\left[(3(x+3))/(\\ot\!9)\right](\\ot\!9 \cdot 4)`

`9\left[\frac{}{}6(x-4)\frac{}{}\right]=4\left[\frac{}{}3(x+3)\frac{}{}\right]`

↓ simplifying the outer constants on both sides ...
`9\cdot 6 = 54`,
`4\cdot 3= 12`

`54(x-4) = 12(x+3)`

↓ applying the distributive property ...
`a(b+c) = ab + ac`

`54x - 216 = 12x+36`

↓ adding 215 to both sides

`54x = 12x+252`

↓ subtracting 12x from both sides

`42x=252`

↓ dividing both sides by 42

`\huge\boxed{x = 6}`