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

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


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

Reorder the terms:
5(-4 + c) = 6(c + -7)
(-4 * 5 + c * 5) = 6(c + -7)
(-20 + 5c) = 6(c + -7)

Reorder the terms:
-20 + 5c = 6(-7 + c)
-20 + 5c = (-7 * 6 + c * 6)
-20 + 5c = (-42 + 6c)

Solving
-20 + 5c = -42 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
-20 + 5c + -6c = -42 + 6c + -6c

Combine like terms: 5c + -6c = -1c
-20 + -1c = -42 + 6c + -6c

Combine like terms: 6c + -6c = 0
-20 + -1c = -42 + 0
-20 + -1c = -42

Add '20' to each side of the equation.
-20 + 20 + -1c = -42 + 20

Combine like terms: -20 + 20 = 0
0 + -1c = -42 + 20
-1c = -42 + 20

Combine like terms: -42 + 20 = -22
-1c = -22

Divide each side by '-1'.
c = 22

Simplifying
c = 22

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