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

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


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

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

Reorder the terms:
-4 + 2c = 3(-4 + c)
-4 + 2c = (-4 * 3 + c * 3)
-4 + 2c = (-12 + 3c)

Solving
-4 + 2c = -12 + 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 = -12 + 3c + -3c

Combine like terms: 2c + -3c = -1c
-4 + -1c = -12 + 3c + -3c

Combine like terms: 3c + -3c = 0
-4 + -1c = -12 + 0
-4 + -1c = -12

Add '4' to each side of the equation.
-4 + 4 + -1c = -12 + 4

Combine like terms: -4 + 4 = 0
0 + -1c = -12 + 4
-1c = -12 + 4

Combine like terms: -12 + 4 = -8
-1c = -8

Divide each side by '-1'.
c = 8

Simplifying
c = 8

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