Question

If 2x + 3 + 7x = – 24, what is the value of x? -6 3 -2 -3

Answer 1

-3

Explanation:

Simplifying

2x + 3 + 7x = -24

Reorder the terms:

3 + 2x + 7x = -24

Combine like terms: 2x + 7x = 9x

3 + 9x = -24

Solving

3 + 9x = -24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 9x = -24 + -3

Combine like terms: 3 + -3 = 0

0 + 9x = -24 + -3

9x = -24 + -3

Combine like terms: -24 + -3 = -27

9x = -27

Divide each side by '9'.

x = -3

Simplifying

x = -3

Answer 2

x = -3

Explanation:

`2x+3+7x=-24\qquad\text{combine like terms}\\\\(2x+7x)+3=-24\\\\9x+3=-24\qquad\text{subtract 3 from both sides}\\\\9x+3-3=-24-3\\\\9x=-27\qquad\text{divide both sides by 9}\\\\(9x)/(9)=(-27)/(9)\\\\x=-3`