5k-37=3(1+5k)

Solution for 5k-37=3(1+5k) equation:

Simplifying
5k + -37 = 3(1 + 5k)

Reorder the terms:
-37 + 5k = 3(1 + 5k)
-37 + 5k = (1 * 3 + 5k * 3)
-37 + 5k = (3 + 15k)

Solving
-37 + 5k = 3 + 15k

Solving for variable 'k'.

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

Add '-15k' to each side of the equation.
-37 + 5k + -15k = 3 + 15k + -15k

Combine like terms: 5k + -15k = -10k
-37 + -10k = 3 + 15k + -15k

Combine like terms: 15k + -15k = 0
-37 + -10k = 3 + 0
-37 + -10k = 3

Add '37' to each side of the equation.
-37 + 37 + -10k = 3 + 37

Combine like terms: -37 + 37 = 0
0 + -10k = 3 + 37
-10k = 3 + 37

Combine like terms: 3 + 37 = 40
-10k = 40

Divide each side by '-10'.
k = -4

Simplifying
k = -4