2(k-5)+6=7(k-1)-2(q-6)

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

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

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

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

Combine like terms: -10 + 6 = -4
-4 + 2k = 7(k + -1) + -2(q + -6)

Reorder the terms:
-4 + 2k = 7(-1 + k) + -2(q + -6)
-4 + 2k = (-1 * 7 + k * 7) + -2(q + -6)
-4 + 2k = (-7 + 7k) + -2(q + -6)

Reorder the terms:
-4 + 2k = -7 + 7k + -2(-6 + q)
-4 + 2k = -7 + 7k + (-6 * -2 + q * -2)
-4 + 2k = -7 + 7k + (12 + -2q)

Reorder the terms:
-4 + 2k = -7 + 12 + 7k + -2q

Combine like terms: -7 + 12 = 5
-4 + 2k = 5 + 7k + -2q

Solving
-4 + 2k = 5 + 7k + -2q

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
-4 + 2k + -7k = 5 + 7k + -7k + -2q

Combine like terms: 2k + -7k = -5k
-4 + -5k = 5 + 7k + -7k + -2q

Combine like terms: 7k + -7k = 0
-4 + -5k = 5 + 0 + -2q
-4 + -5k = 5 + -2q

Add '4' to each side of the equation.
-4 + 4 + -5k = 5 + 4 + -2q

Combine like terms: -4 + 4 = 0
0 + -5k = 5 + 4 + -2q
-5k = 5 + 4 + -2q

Combine like terms: 5 + 4 = 9
-5k = 9 + -2q

Divide each side by '-5'.
k = -1.8 + 0.4q

Simplifying
k = -1.8 + 0.4q