3(k-2)=-2(4-2k)+7

Solution for 3(k-2)=-2(4-2k)+7 equation:

Simplifying
3(k + -2) = -2(4 + -2k) + 7

Reorder the terms:
3(-2 + k) = -2(4 + -2k) + 7
(-2 * 3 + k * 3) = -2(4 + -2k) + 7
(-6 + 3k) = -2(4 + -2k) + 7
-6 + 3k = (4 * -2 + -2k * -2) + 7
-6 + 3k = (-8 + 4k) + 7

Reorder the terms:
-6 + 3k = -8 + 7 + 4k

Combine like terms: -8 + 7 = -1
-6 + 3k = -1 + 4k

Solving
-6 + 3k = -1 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
-6 + 3k + -4k = -1 + 4k + -4k

Combine like terms: 3k + -4k = -1k
-6 + -1k = -1 + 4k + -4k

Combine like terms: 4k + -4k = 0
-6 + -1k = -1 + 0
-6 + -1k = -1

Add '6' to each side of the equation.
-6 + 6 + -1k = -1 + 6

Combine like terms: -6 + 6 = 0
0 + -1k = -1 + 6
-1k = -1 + 6

Combine like terms: -1 + 6 = 5
-1k = 5

Divide each side by '-1'.
k = -5

Simplifying
k = -5