6[5(c-5)+18]-[3(3c-3)+3]=

Solution for 6[5(c-5)+18]-[3(3c-3)+3]= equation:

Simplifying
6[5(c + -5) + 18] + -1[3(3c + -3) + 3] = 0

Reorder the terms:
6[5(-5 + c) + 18] + -1[3(3c + -3) + 3] = 0
6[(-5 * 5 + c * 5) + 18] + -1[3(3c + -3) + 3] = 0
6[(-25 + 5c) + 18] + -1[3(3c + -3) + 3] = 0

Reorder the terms:
6[-25 + 18 + 5c] + -1[3(3c + -3) + 3] = 0

Combine like terms: -25 + 18 = -7
6[-7 + 5c] + -1[3(3c + -3) + 3] = 0
[-7 * 6 + 5c * 6] + -1[3(3c + -3) + 3] = 0
[-42 + 30c] + -1[3(3c + -3) + 3] = 0

Reorder the terms:
-42 + 30c + -1[3(-3 + 3c) + 3] = 0
-42 + 30c + -1[(-3 * 3 + 3c * 3) + 3] = 0
-42 + 30c + -1[(-9 + 9c) + 3] = 0

Reorder the terms:
-42 + 30c + -1[-9 + 3 + 9c] = 0

Combine like terms: -9 + 3 = -6
-42 + 30c + -1[-6 + 9c] = 0
-42 + 30c + [-6 * -1 + 9c * -1] = 0
-42 + 30c + [6 + -9c] = 0

Reorder the terms:
-42 + 6 + 30c + -9c = 0

Combine like terms: -42 + 6 = -36
-36 + 30c + -9c = 0

Combine like terms: 30c + -9c = 21c
-36 + 21c = 0

Solving
-36 + 21c = 0

Solving for variable 'c'.

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

Add '36' to each side of the equation.
-36 + 36 + 21c = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 21c = 0 + 36
21c = 0 + 36

Combine like terms: 0 + 36 = 36
21c = 36

Divide each side by '21'.
c = 1.714285714

Simplifying
c = 1.714285714