Question

For what value of x would 3 (3x − 1)− 3 (5x − 3)= − (x + 6)?]

Answer 1

x = 12/5

Explanation:

3 (3x − 1) − 3 (5x − 3) = − (x + 6)

9x − 3 − 15x + 9 = − x − 6

9x − 15x + x = 3 − 9 − 6

− 5x = − 12

5x = 12

x = 12/5

Answer 2

`x=(12)/(5)`

Explanation:

Given equation:

`3(3x-1)-3(5x-3)=-(x+6)`

Distribute:

`\implies 3 \cdot 3x + 3 \cdot (-1) - 3 \cdot 5x - 3 \cdot (-3)=-x-6`

`\implies 9x-3-15x+9=-x-6`

Collect and combine like terms on the left side of the equation:

`\implies 9x-15x+9-3=-x-6`

`\implies -6x+6=-x-6`

Add 6x to both sides:

`\implies -6x+6+6x=-x-6+6x`

`\implies 6=5x-6`

Add 6 to both sides:

`\implies 6+6=5x-6+6`

`\implies 12=5x`

`\implies 5x=12`

Divide both sides by 5:

`\implies (5x)/(5)=(12)/(5)`

`\implies x=(12)/(5)`