2(c-7)=3(c-8)

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Solution for 2(c-7)=3(c-8) equation: 


Simplifying
2(c + -7) = 3(c + -8)

Reorder the terms:
2(-7 + c) = 3(c + -8)
(-7 * 2 + c * 2) = 3(c + -8)
(-14 + 2c) = 3(c + -8)

Reorder the terms:
-14 + 2c = 3(-8 + c)
-14 + 2c = (-8 * 3 + c * 3)
-14 + 2c = (-24 + 3c)

Solving
-14 + 2c = -24 + 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.
-14 + 2c + -3c = -24 + 3c + -3c

Combine like terms: 2c + -3c = -1c
-14 + -1c = -24 + 3c + -3c

Combine like terms: 3c + -3c = 0
-14 + -1c = -24 + 0
-14 + -1c = -24

Add '14' to each side of the equation.
-14 + 14 + -1c = -24 + 14

Combine like terms: -14 + 14 = 0
0 + -1c = -24 + 14
-1c = -24 + 14

Combine like terms: -24 + 14 = -10
-1c = -10

Divide each side by '-1'.
c = 10

Simplifying
c = 10

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