2(c+4)-4(5-2c)=6(2c-4)

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Solution for 2(c+4)-4(5-2c)=6(2c-4) equation:


Simplifying
2(c + 4) + -4(5 + -2c) = 6(2c + -4)

Reorder the terms:
2(4 + c) + -4(5 + -2c) = 6(2c + -4)
(4 * 2 + c * 2) + -4(5 + -2c) = 6(2c + -4)
(8 + 2c) + -4(5 + -2c) = 6(2c + -4)
8 + 2c + (5 * -4 + -2c * -4) = 6(2c + -4)
8 + 2c + (-20 + 8c) = 6(2c + -4)

Reorder the terms:
8 + -20 + 2c + 8c = 6(2c + -4)

Combine like terms: 8 + -20 = -12
-12 + 2c + 8c = 6(2c + -4)

Combine like terms: 2c + 8c = 10c
-12 + 10c = 6(2c + -4)

Reorder the terms:
-12 + 10c = 6(-4 + 2c)
-12 + 10c = (-4 * 6 + 2c * 6)
-12 + 10c = (-24 + 12c)

Solving
-12 + 10c = -24 + 12c

Solving for variable 'c'.

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

Add '-12c' to each side of the equation.
-12 + 10c + -12c = -24 + 12c + -12c

Combine like terms: 10c + -12c = -2c
-12 + -2c = -24 + 12c + -12c

Combine like terms: 12c + -12c = 0
-12 + -2c = -24 + 0
-12 + -2c = -24

Add '12' to each side of the equation.
-12 + 12 + -2c = -24 + 12

Combine like terms: -12 + 12 = 0
0 + -2c = -24 + 12
-2c = -24 + 12

Combine like terms: -24 + 12 = -12
-2c = -12

Divide each side by '-2'.
c = 6

Simplifying
c = 6

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