-3(5s-21)+6(2s+2)=s-(8s-63)

Solution for -3(5s-21)+6(2s+2)=s-(8s-63) equation:

Simplifying
-3(5s + -21) + 6(2s + 2) = s + -1(8s + -63)

Reorder the terms:
-3(-21 + 5s) + 6(2s + 2) = s + -1(8s + -63)
(-21 * -3 + 5s * -3) + 6(2s + 2) = s + -1(8s + -63)
(63 + -15s) + 6(2s + 2) = s + -1(8s + -63)

Reorder the terms:
63 + -15s + 6(2 + 2s) = s + -1(8s + -63)
63 + -15s + (2 * 6 + 2s * 6) = s + -1(8s + -63)
63 + -15s + (12 + 12s) = s + -1(8s + -63)

Reorder the terms:
63 + 12 + -15s + 12s = s + -1(8s + -63)

Combine like terms: 63 + 12 = 75
75 + -15s + 12s = s + -1(8s + -63)

Combine like terms: -15s + 12s = -3s
75 + -3s = s + -1(8s + -63)

Reorder the terms:
75 + -3s = s + -1(-63 + 8s)
75 + -3s = s + (-63 * -1 + 8s * -1)
75 + -3s = s + (63 + -8s)

Reorder the terms:
75 + -3s = 63 + s + -8s

Combine like terms: s + -8s = -7s
75 + -3s = 63 + -7s

Solving
75 + -3s = 63 + -7s

Solving for variable 's'.

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

Add '7s' to each side of the equation.
75 + -3s + 7s = 63 + -7s + 7s

Combine like terms: -3s + 7s = 4s
75 + 4s = 63 + -7s + 7s

Combine like terms: -7s + 7s = 0
75 + 4s = 63 + 0
75 + 4s = 63

Add '-75' to each side of the equation.
75 + -75 + 4s = 63 + -75

Combine like terms: 75 + -75 = 0
0 + 4s = 63 + -75
4s = 63 + -75

Combine like terms: 63 + -75 = -12
4s = -12

Divide each side by '4'.
s = -3

Simplifying
s = -3