2(2s-2)+14=3(s-1)-(2s+4)

Solution for 2(2s-2)+14=3(s-1)-(2s+4) equation:

Simplifying
2(2s + -2) + 14 = 3(s + -1) + -1(2s + 4)

Reorder the terms:
2(-2 + 2s) + 14 = 3(s + -1) + -1(2s + 4)
(-2 * 2 + 2s * 2) + 14 = 3(s + -1) + -1(2s + 4)
(-4 + 4s) + 14 = 3(s + -1) + -1(2s + 4)

Reorder the terms:
-4 + 14 + 4s = 3(s + -1) + -1(2s + 4)

Combine like terms: -4 + 14 = 10
10 + 4s = 3(s + -1) + -1(2s + 4)

Reorder the terms:
10 + 4s = 3(-1 + s) + -1(2s + 4)
10 + 4s = (-1 * 3 + s * 3) + -1(2s + 4)
10 + 4s = (-3 + 3s) + -1(2s + 4)

Reorder the terms:
10 + 4s = -3 + 3s + -1(4 + 2s)
10 + 4s = -3 + 3s + (4 * -1 + 2s * -1)
10 + 4s = -3 + 3s + (-4 + -2s)

Reorder the terms:
10 + 4s = -3 + -4 + 3s + -2s

Combine like terms: -3 + -4 = -7
10 + 4s = -7 + 3s + -2s

Combine like terms: 3s + -2s = 1s
10 + 4s = -7 + 1s

Solving
10 + 4s = -7 + 1s

Solving for variable 's'.

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

Add '-1s' to each side of the equation.
10 + 4s + -1s = -7 + 1s + -1s

Combine like terms: 4s + -1s = 3s
10 + 3s = -7 + 1s + -1s

Combine like terms: 1s + -1s = 0
10 + 3s = -7 + 0
10 + 3s = -7

Add '-10' to each side of the equation.
10 + -10 + 3s = -7 + -10

Combine like terms: 10 + -10 = 0
0 + 3s = -7 + -10
3s = -7 + -10

Combine like terms: -7 + -10 = -17
3s = -17

Divide each side by '3'.
s = -5.666666667

Simplifying
s = -5.666666667