2(7+c)=4(c-3)

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Solution for 2(7+c)=4(c-3) equation:


Simplifying
2(7 + c) = 4(c + -3)
(7 * 2 + c * 2) = 4(c + -3)
(14 + 2c) = 4(c + -3)

Reorder the terms:
14 + 2c = 4(-3 + c)
14 + 2c = (-3 * 4 + c * 4)
14 + 2c = (-12 + 4c)

Solving
14 + 2c = -12 + 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.
14 + 2c + -4c = -12 + 4c + -4c

Combine like terms: 2c + -4c = -2c
14 + -2c = -12 + 4c + -4c

Combine like terms: 4c + -4c = 0
14 + -2c = -12 + 0
14 + -2c = -12

Add '-14' to each side of the equation.
14 + -14 + -2c = -12 + -14

Combine like terms: 14 + -14 = 0
0 + -2c = -12 + -14
-2c = -12 + -14

Combine like terms: -12 + -14 = -26
-2c = -26

Divide each side by '-2'.
c = 13

Simplifying
c = 13

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