4(4c-1)-2=13c+3

Solution for 4(4c-1)-2=13c+3 equation:

Simplifying
4(4c + -1) + -2 = 13c + 3

Reorder the terms:
4(-1 + 4c) + -2 = 13c + 3
(-1 * 4 + 4c * 4) + -2 = 13c + 3
(-4 + 16c) + -2 = 13c + 3

Reorder the terms:
-4 + -2 + 16c = 13c + 3

Combine like terms: -4 + -2 = -6
-6 + 16c = 13c + 3

Reorder the terms:
-6 + 16c = 3 + 13c

Solving
-6 + 16c = 3 + 13c

Solving for variable 'c'.

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

Add '-13c' to each side of the equation.
-6 + 16c + -13c = 3 + 13c + -13c

Combine like terms: 16c + -13c = 3c
-6 + 3c = 3 + 13c + -13c

Combine like terms: 13c + -13c = 0
-6 + 3c = 3 + 0
-6 + 3c = 3

Add '6' to each side of the equation.
-6 + 6 + 3c = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 3c = 3 + 6
3c = 3 + 6

Combine like terms: 3 + 6 = 9
3c = 9

Divide each side by '3'.
c = 3

Simplifying
c = 3