2(c+1)=5c-7

Solution for 2(c+1)=5c-7 equation:

Simplifying
2(c + 1) = 5c + -7

Reorder the terms:
2(1 + c) = 5c + -7
(1 * 2 + c * 2) = 5c + -7
(2 + 2c) = 5c + -7

Reorder the terms:
2 + 2c = -7 + 5c

Solving
2 + 2c = -7 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
2 + 2c + -5c = -7 + 5c + -5c

Combine like terms: 2c + -5c = -3c
2 + -3c = -7 + 5c + -5c

Combine like terms: 5c + -5c = 0
2 + -3c = -7 + 0
2 + -3c = -7

Add '-2' to each side of the equation.
2 + -2 + -3c = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -3c = -7 + -2
-3c = -7 + -2

Combine like terms: -7 + -2 = -9
-3c = -9

Divide each side by '-3'.
c = 3

Simplifying
c = 3