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

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

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

Reorder the terms:
7(-7 + c) + 4c = -2(c + 5)
(-7 * 7 + c * 7) + 4c = -2(c + 5)
(-49 + 7c) + 4c = -2(c + 5)

Combine like terms: 7c + 4c = 11c
-49 + 11c = -2(c + 5)

Reorder the terms:
-49 + 11c = -2(5 + c)
-49 + 11c = (5 * -2 + c * -2)
-49 + 11c = (-10 + -2c)

Solving
-49 + 11c = -10 + -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.
-49 + 11c + 2c = -10 + -2c + 2c

Combine like terms: 11c + 2c = 13c
-49 + 13c = -10 + -2c + 2c

Combine like terms: -2c + 2c = 0
-49 + 13c = -10 + 0
-49 + 13c = -10

Add '49' to each side of the equation.
-49 + 49 + 13c = -10 + 49

Combine like terms: -49 + 49 = 0
0 + 13c = -10 + 49
13c = -10 + 49

Combine like terms: -10 + 49 = 39
13c = 39

Divide each side by '13'.
c = 3

Simplifying
c = 3