7-2(5s-4)+s=3(s+2)

Solution for 7-2(5s-4)+s=3(s+2) equation:

Simplifying
7 + -2(5s + -4) + s = 3(s + 2)

Reorder the terms:
7 + -2(-4 + 5s) + s = 3(s + 2)
7 + (-4 * -2 + 5s * -2) + s = 3(s + 2)
7 + (8 + -10s) + s = 3(s + 2)

Combine like terms: 7 + 8 = 15
15 + -10s + s = 3(s + 2)

Combine like terms: -10s + s = -9s
15 + -9s = 3(s + 2)

Reorder the terms:
15 + -9s = 3(2 + s)
15 + -9s = (2 * 3 + s * 3)
15 + -9s = (6 + 3s)

Solving
15 + -9s = 6 + 3s

Solving for variable 's'.

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

Add '-3s' to each side of the equation.
15 + -9s + -3s = 6 + 3s + -3s

Combine like terms: -9s + -3s = -12s
15 + -12s = 6 + 3s + -3s

Combine like terms: 3s + -3s = 0
15 + -12s = 6 + 0
15 + -12s = 6

Add '-15' to each side of the equation.
15 + -15 + -12s = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -12s = 6 + -15
-12s = 6 + -15

Combine like terms: 6 + -15 = -9
-12s = -9

Divide each side by '-12'.
s = 0.75

Simplifying
s = 0.75