2-3(c-2)=-10+2c-12

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Solution for 2-3(c-2)=-10+2c-12 equation: 


Simplifying
2 + -3(c + -2) = -10 + 2c + -12

Reorder the terms:
2 + -3(-2 + c) = -10 + 2c + -12
2 + (-2 * -3 + c * -3) = -10 + 2c + -12
2 + (6 + -3c) = -10 + 2c + -12

Combine like terms: 2 + 6 = 8
8 + -3c = -10 + 2c + -12

Reorder the terms:
8 + -3c = -10 + -12 + 2c

Combine like terms: -10 + -12 = -22
8 + -3c = -22 + 2c

Solving
8 + -3c = -22 + 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.
8 + -3c + -2c = -22 + 2c + -2c

Combine like terms: -3c + -2c = -5c
8 + -5c = -22 + 2c + -2c

Combine like terms: 2c + -2c = 0
8 + -5c = -22 + 0
8 + -5c = -22

Add '-8' to each side of the equation.
8 + -8 + -5c = -22 + -8

Combine like terms: 8 + -8 = 0
0 + -5c = -22 + -8
-5c = -22 + -8

Combine like terms: -22 + -8 = -30
-5c = -30

Divide each side by '-5'.
c = 6

Simplifying
c = 6

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