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

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Solution for 6(c-2)=7(c-3) equation:


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

Reorder the terms:
6(-2 + c) = 7(c + -3)
(-2 * 6 + c * 6) = 7(c + -3)
(-12 + 6c) = 7(c + -3)

Reorder the terms:
-12 + 6c = 7(-3 + c)
-12 + 6c = (-3 * 7 + c * 7)
-12 + 6c = (-21 + 7c)

Solving
-12 + 6c = -21 + 7c

Solving for variable 'c'.

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

Add '-7c' to each side of the equation.
-12 + 6c + -7c = -21 + 7c + -7c

Combine like terms: 6c + -7c = -1c
-12 + -1c = -21 + 7c + -7c

Combine like terms: 7c + -7c = 0
-12 + -1c = -21 + 0
-12 + -1c = -21

Add '12' to each side of the equation.
-12 + 12 + -1c = -21 + 12

Combine like terms: -12 + 12 = 0
0 + -1c = -21 + 12
-1c = -21 + 12

Combine like terms: -21 + 12 = -9
-1c = -9

Divide each side by '-1'.
c = 9

Simplifying
c = 9

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