Question

Solve for x -3(x + 5) = -9

Answer 1

`\tt x=-2`

Explanation:

`\tt -3(x + 5) = -9`

Step (1) :- Distribute

`\tt -3x-15=-9`

Step (2) :- Add 15 to both sides

`\tt -3x-15+15=-9+15`

Step (3) :- Simplify

`\tt -3x=6`

Step (4) :- Divide both sides by -3:-

`\tt \cfrac{-3x}{-3}=\cfrac{6}{-3}`

`\tt x=-2\;\; \bf Answer`

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Answer 2

`\sf:\implies \quad {\pmb{\sf x = -2}}`

Solution:

Let's solve the given problem step by step :

`:\implies \quad \sf - 3(x + 5) = - 9`

First, distribute the given problem :

`:\implies \quad \sf - 3(x + 5) = - 9`

`\sf:\implies \quad - (3 * x) - (3 * 5) = - 9`

Add 15 to both sides :

`\sf:\implies \quad - 3x - 15 = - 9`

`\sf:\implies \quad - 3x - 15 + 15 = - 9 + 15`

On simplifying :

`\sf:\implies \quad -3x-15+15 = -9+15`

`\sf:\implies \quad - 3x = 6`

Dividing both sides with same factor :

`\sf:\implies \quad - 3x = 6`

`\sf:\implies \quad ( - 3x)/( - 3) = (6)/( - 3)`

`\sf:\implies \boxed{ \pmb{ \sf\quad x = - 2}}`