2(c-2)=3(c+1)

Solution for 2(c-2)=3(c+1) equation:

Simplifying
2(c + -2) = 3(c + 1)

Reorder the terms:
2(-2 + c) = 3(c + 1)
(-2 * 2 + c * 2) = 3(c + 1)
(-4 + 2c) = 3(c + 1)

Reorder the terms:
-4 + 2c = 3(1 + c)
-4 + 2c = (1 * 3 + c * 3)
-4 + 2c = (3 + 3c)

Solving
-4 + 2c = 3 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
-4 + 2c + -3c = 3 + 3c + -3c

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

Combine like terms: 3c + -3c = 0
-4 + -1c = 3 + 0
-4 + -1c = 3

Add '4' to each side of the equation.
-4 + 4 + -1c = 3 + 4

Combine like terms: -4 + 4 = 0
0 + -1c = 3 + 4
-1c = 3 + 4

Combine like terms: 3 + 4 = 7
-1c = 7

Divide each side by '-1'.
c = -7

Simplifying
c = -7