Question

Solve:
6(-x- 3) = 24
X=

Answer 1

X= -7

Explanation:

Divide both sides of the equation by 6.

Move the constant to the right.

Add the numbers.

Change the signs.

Answer 2

x = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Explanation:

Step 1: Define

6(-x - 3) = 24

Step 2: Solve for x

1. Divide 6 on both sides: -x - 3 = 4
2. Add 3 on both sides: -x = 7
3. Divide -1 on both sides: x = -7

Step 3: Check

Plug in x into the original equation to verify it's a solution.

1. Substitute in x: 6(-(-7) - 3) = 24
2. Multiply: 6(7 - 3) = 24
3. Subtract: 6(4) = 24
4. Multiply: 24 = 24

Here we see that 24 does indeed equal 24.

∴ x = -7 is the solution to the equation.