3(c-4)=4(c-6)

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Solution for 3(c-4)=4(c-6) equation:


Simplifying
3(c + -4) = 4(c + -6)

Reorder the terms:
3(-4 + c) = 4(c + -6)
(-4 * 3 + c * 3) = 4(c + -6)
(-12 + 3c) = 4(c + -6)

Reorder the terms:
-12 + 3c = 4(-6 + c)
-12 + 3c = (-6 * 4 + c * 4)
-12 + 3c = (-24 + 4c)

Solving
-12 + 3c = -24 + 4c

Solving for variable 'c'.

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

Add '-4c' to each side of the equation.
-12 + 3c + -4c = -24 + 4c + -4c

Combine like terms: 3c + -4c = -1c
-12 + -1c = -24 + 4c + -4c

Combine like terms: 4c + -4c = 0
-12 + -1c = -24 + 0
-12 + -1c = -24

Add '12' to each side of the equation.
-12 + 12 + -1c = -24 + 12

Combine like terms: -12 + 12 = 0
0 + -1c = -24 + 12
-1c = -24 + 12

Combine like terms: -24 + 12 = -12
-1c = -12

Divide each side by '-1'.
c = 12

Simplifying
c = 12

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