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

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

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

Reorder the terms:
4c + -2(-3 + 4c) = 3(2c + -5)
4c + (-3 * -2 + 4c * -2) = 3(2c + -5)
4c + (6 + -8c) = 3(2c + -5)

Reorder the terms:
6 + 4c + -8c = 3(2c + -5)

Combine like terms: 4c + -8c = -4c
6 + -4c = 3(2c + -5)

Reorder the terms:
6 + -4c = 3(-5 + 2c)
6 + -4c = (-5 * 3 + 2c * 3)
6 + -4c = (-15 + 6c)

Solving
6 + -4c = -15 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
6 + -4c + -6c = -15 + 6c + -6c

Combine like terms: -4c + -6c = -10c
6 + -10c = -15 + 6c + -6c

Combine like terms: 6c + -6c = 0
6 + -10c = -15 + 0
6 + -10c = -15

Add '-6' to each side of the equation.
6 + -6 + -10c = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -10c = -15 + -6
-10c = -15 + -6

Combine like terms: -15 + -6 = -21
-10c = -21

Divide each side by '-10'.
c = 2.1

Simplifying
c = 2.1