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

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Solution for 5(c+4)=4(2c-3)-7 equation:


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

Reorder the terms:
5(4 + c) = 4(2c + -3) + -7
(4 * 5 + c * 5) = 4(2c + -3) + -7
(20 + 5c) = 4(2c + -3) + -7

Reorder the terms:
20 + 5c = 4(-3 + 2c) + -7
20 + 5c = (-3 * 4 + 2c * 4) + -7
20 + 5c = (-12 + 8c) + -7

Reorder the terms:
20 + 5c = -12 + -7 + 8c

Combine like terms: -12 + -7 = -19
20 + 5c = -19 + 8c

Solving
20 + 5c = -19 + 8c

Solving for variable 'c'.

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

Add '-8c' to each side of the equation.
20 + 5c + -8c = -19 + 8c + -8c

Combine like terms: 5c + -8c = -3c
20 + -3c = -19 + 8c + -8c

Combine like terms: 8c + -8c = 0
20 + -3c = -19 + 0
20 + -3c = -19

Add '-20' to each side of the equation.
20 + -20 + -3c = -19 + -20

Combine like terms: 20 + -20 = 0
0 + -3c = -19 + -20
-3c = -19 + -20

Combine like terms: -19 + -20 = -39
-3c = -39

Divide each side by '-3'.
c = 13

Simplifying
c = 13

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