1-5k+10=2(-5k+3)+3(6k-7)

Solution for 1-5k+10=2(-5k+3)+3(6k-7) equation:

Simplifying
1 + -5k + 10 = 2(-5k + 3) + 3(6k + -7)

Reorder the terms:
1 + 10 + -5k = 2(-5k + 3) + 3(6k + -7)

Combine like terms: 1 + 10 = 11
11 + -5k = 2(-5k + 3) + 3(6k + -7)

Reorder the terms:
11 + -5k = 2(3 + -5k) + 3(6k + -7)
11 + -5k = (3 * 2 + -5k * 2) + 3(6k + -7)
11 + -5k = (6 + -10k) + 3(6k + -7)

Reorder the terms:
11 + -5k = 6 + -10k + 3(-7 + 6k)
11 + -5k = 6 + -10k + (-7 * 3 + 6k * 3)
11 + -5k = 6 + -10k + (-21 + 18k)

Reorder the terms:
11 + -5k = 6 + -21 + -10k + 18k

Combine like terms: 6 + -21 = -15
11 + -5k = -15 + -10k + 18k

Combine like terms: -10k + 18k = 8k
11 + -5k = -15 + 8k

Solving
11 + -5k = -15 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
11 + -5k + -8k = -15 + 8k + -8k

Combine like terms: -5k + -8k = -13k
11 + -13k = -15 + 8k + -8k

Combine like terms: 8k + -8k = 0
11 + -13k = -15 + 0
11 + -13k = -15

Add '-11' to each side of the equation.
11 + -11 + -13k = -15 + -11

Combine like terms: 11 + -11 = 0
0 + -13k = -15 + -11
-13k = -15 + -11

Combine like terms: -15 + -11 = -26
-13k = -26

Divide each side by '-13'.
k = 2

Simplifying
k = 2