5c-4(c-8)=3+2c

Solution for 5c-4(c-8)=3+2c equation:

Simplifying
5c + -4(c + -8) = 3 + 2c

Reorder the terms:
5c + -4(-8 + c) = 3 + 2c
5c + (-8 * -4 + c * -4) = 3 + 2c
5c + (32 + -4c) = 3 + 2c

Reorder the terms:
32 + 5c + -4c = 3 + 2c

Combine like terms: 5c + -4c = 1c
32 + 1c = 3 + 2c

Solving
32 + 1c = 3 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
32 + 1c + -2c = 3 + 2c + -2c

Combine like terms: 1c + -2c = -1c
32 + -1c = 3 + 2c + -2c

Combine like terms: 2c + -2c = 0
32 + -1c = 3 + 0
32 + -1c = 3

Add '-32' to each side of the equation.
32 + -32 + -1c = 3 + -32

Combine like terms: 32 + -32 = 0
0 + -1c = 3 + -32
-1c = 3 + -32

Combine like terms: 3 + -32 = -29
-1c = -29

Divide each side by '-1'.
c = 29

Simplifying
c = 29