Question

Solve for K 2(k - 5) + 3k = k + 6

Answer 1

k = 4

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

2(k - 5) + 3k = k + 6

Step 2: Solve for k

1. Distribute 2: 2k - 10 + 3k = k + 6
2. Combine like terms: 5k - 10 = k + 6
3. Subtract k on both sides: 4k - 10 = 6
4. Add 10 on both sides: 4k = 16
5. Divide 4 on both sides: k = 4

Step 3: Check

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

1. Substitute in k: 2(4 - 5) + 3(4) = 4 + 6
2. (Parenthesis) Subtract: 2(-1) + 3(4) = 4 + 6
3. Multiply: -2 + 12 = 4 + 6
4. Add: 10 = 10

Here we see that 10 does indeed equal 10.

∴ k = 4 is the solution to the equation.