2-0.8(2k-7)=1.2(k+1)

Solution for 2-0.8(2k-7)=1.2(k+1) equation:

Simplifying
2 + -0.8(2k + -7) = 1.2(k + 1)

Reorder the terms:
2 + -0.8(-7 + 2k) = 1.2(k + 1)
2 + (-7 * -0.8 + 2k * -0.8) = 1.2(k + 1)
2 + (5.6 + -1.6k) = 1.2(k + 1)

Combine like terms: 2 + 5.6 = 7.6
7.6 + -1.6k = 1.2(k + 1)

Reorder the terms:
7.6 + -1.6k = 1.2(1 + k)
7.6 + -1.6k = (1 * 1.2 + k * 1.2)
7.6 + -1.6k = (1.2 + 1.2k)

Solving
7.6 + -1.6k = 1.2 + 1.2k

Solving for variable 'k'.

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

Add '-1.2k' to each side of the equation.
7.6 + -1.6k + -1.2k = 1.2 + 1.2k + -1.2k

Combine like terms: -1.6k + -1.2k = -2.8k
7.6 + -2.8k = 1.2 + 1.2k + -1.2k

Combine like terms: 1.2k + -1.2k = 0.0
7.6 + -2.8k = 1.2 + 0.0
7.6 + -2.8k = 1.2

Add '-7.6' to each side of the equation.
7.6 + -7.6 + -2.8k = 1.2 + -7.6

Combine like terms: 7.6 + -7.6 = 0.0
0.0 + -2.8k = 1.2 + -7.6
-2.8k = 1.2 + -7.6

Combine like terms: 1.2 + -7.6 = -6.4
-2.8k = -6.4

Divide each side by '-2.8'.
k = 2.285714286

Simplifying
k = 2.285714286