4(7c-5)=3(5c+2)

Solution for 4(7c-5)=3(5c+2) equation:

Simplifying
4(7c + -5) = 3(5c + 2)

Reorder the terms:
4(-5 + 7c) = 3(5c + 2)
(-5 * 4 + 7c * 4) = 3(5c + 2)
(-20 + 28c) = 3(5c + 2)

Reorder the terms:
-20 + 28c = 3(2 + 5c)
-20 + 28c = (2 * 3 + 5c * 3)
-20 + 28c = (6 + 15c)

Solving
-20 + 28c = 6 + 15c

Solving for variable 'c'.

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

Add '-15c' to each side of the equation.
-20 + 28c + -15c = 6 + 15c + -15c

Combine like terms: 28c + -15c = 13c
-20 + 13c = 6 + 15c + -15c

Combine like terms: 15c + -15c = 0
-20 + 13c = 6 + 0
-20 + 13c = 6

Add '20' to each side of the equation.
-20 + 20 + 13c = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 13c = 6 + 20
13c = 6 + 20

Combine like terms: 6 + 20 = 26
13c = 26

Divide each side by '13'.
c = 2

Simplifying
c = 2