Question

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

Answer 1

Answer:

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

Step-by-step 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.