Question

class 9th
2K (K-5) +3K = K+6 What is the value of K​

Answer 1

Step-by-step explanation:

Simplifying

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

Reorder the terms:

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

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

(-10 + 2k) + 3k = k + 6

Combine like terms: 2k + 3k = 5k

-10 + 5k = k + 6

Reorder the terms:

-10 + 5k = 6 + k

Solving

-10 + 5k = 6 + k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-1k' to each side of the equation.

-10 + 5k + -1k = 6 + k + -1k

Combine like terms: 5k + -1k = 4k

-10 + 4k = 6 + k + -1k

Combine like terms: k + -1k = 0

-10 + 4k = 6 + 0

-10 + 4k = 6

Add '10' to each side of the equation.

-10 + 10 + 4k = 6 + 10

Combine like terms: -10 + 10 = 0

0 + 4k = 6 + 10

4k = 6 + 10

Combine like terms: 6 + 10 = 16

4k = 16

Divide each side by '4'.

k = 4

Simplifying

k = 4