15 - 3k = 10(k-5)
Can someone please answer this

k = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

15 - 3k = 10(k - 5)

Step 2: Solve for k

Distribute 10:                              15 - 3k = 10k - 50Add 3k to both sides:                15 = 13k - 50Add 50 to both sides:                65 = 13kDivide 13 on both sides:            5 = kRewrite:                                       k = 5

Step 3: Check

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

Substitute in k:                    15 - 3(5) = 10(5 - 5)Subtract:                              15 - 3(5) = 10(0)Multiply:                               15 - 15 = 0Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ k = 5 is a solution of the equation.