Question

Solve the equation for x:
-3(x + 4) + 5x = 24

Answer 1

`-3(x + 4) + 5x = 24\\\\-3x - 12 + 5x = 24\\\\2x - 12 = 24\\\\2x = 36\\\\x = 18`

The solution for x in this equation is 18.

Answer 2

x = 18

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

-3(x + 4) + 5x = 24

Step 2: Solve for x

1. Distribute -3: -3x - 12 + 5x = 24
2. Combine like terms: 2x - 12 = 24
3. Isolate x term: 2x = 36
4. Isolate x: x = 18

Step 3: Check

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

1. Substitute in x: -3(18 + 4) + 5(18) = 24
2. Add: -3(22) + 5(18) = 24
3. Multiply: -66 + 90 = 24
4. Add: 24 = 24

Here we see that 24 does indeed equal 24.

∴ x = 18 is the solution to the equation.