6(c-4)=5c-7

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Solution for 6(c-4)=5c-7 equation:


Simplifying
6(c + -4) = 5c + -7

Reorder the terms:
6(-4 + c) = 5c + -7
(-4 * 6 + c * 6) = 5c + -7
(-24 + 6c) = 5c + -7

Reorder the terms:
-24 + 6c = -7 + 5c

Solving
-24 + 6c = -7 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
-24 + 6c + -5c = -7 + 5c + -5c

Combine like terms: 6c + -5c = 1c
-24 + 1c = -7 + 5c + -5c

Combine like terms: 5c + -5c = 0
-24 + 1c = -7 + 0
-24 + 1c = -7

Add '24' to each side of the equation.
-24 + 24 + 1c = -7 + 24

Combine like terms: -24 + 24 = 0
0 + 1c = -7 + 24
1c = -7 + 24

Combine like terms: -7 + 24 = 17
1c = 17

Divide each side by '1'.
c = 17

Simplifying
c = 17

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