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

Question

asked Jun 23, 2023 9.7k views

2 Answers

Ltebean · Answer 1 · 2023-06-25T17:45:27+0000

Answer:

$\tt x=-2$

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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Dpassage · Answer 2 · 2023-06-29T22:17:06+0000

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

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 :

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

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

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