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

Solution for 6x-3(5x+2)=2(k-3)+2 equation:

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

Reorder the terms:
6x + -3(2 + 5x) = 2(k + -3) + 2
6x + (2 * -3 + 5x * -3) = 2(k + -3) + 2
6x + (-6 + -15x) = 2(k + -3) + 2

Reorder the terms:
-6 + 6x + -15x = 2(k + -3) + 2

Combine like terms: 6x + -15x = -9x
-6 + -9x = 2(k + -3) + 2

Reorder the terms:
-6 + -9x = 2(-3 + k) + 2
-6 + -9x = (-3 * 2 + k * 2) + 2
-6 + -9x = (-6 + 2k) + 2

Reorder the terms:
-6 + -9x = -6 + 2 + 2k

Combine like terms: -6 + 2 = -4
-6 + -9x = -4 + 2k

Solving
-6 + -9x = -4 + 2k

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -9x = -4 + 6 + 2k

Combine like terms: -6 + 6 = 0
0 + -9x = -4 + 6 + 2k
-9x = -4 + 6 + 2k

Combine like terms: -4 + 6 = 2
-9x = 2 + 2k

Divide each side by '-9'.
x = -0.2222222222 + -0.2222222222k

Simplifying
x = -0.2222222222 + -0.2222222222k