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

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


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

Combine like terms: 5 + 2 = 7
2(7) + -2c = 3(2c + 3) + 7

Multiply 2 * 7
14 + -2c = 3(2c + 3) + 7

Reorder the terms:
14 + -2c = 3(3 + 2c) + 7
14 + -2c = (3 * 3 + 2c * 3) + 7
14 + -2c = (9 + 6c) + 7

Reorder the terms:
14 + -2c = 9 + 7 + 6c

Combine like terms: 9 + 7 = 16
14 + -2c = 16 + 6c

Solving
14 + -2c = 16 + 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.
14 + -2c + -6c = 16 + 6c + -6c

Combine like terms: -2c + -6c = -8c
14 + -8c = 16 + 6c + -6c

Combine like terms: 6c + -6c = 0
14 + -8c = 16 + 0
14 + -8c = 16

Add '-14' to each side of the equation.
14 + -14 + -8c = 16 + -14

Combine like terms: 14 + -14 = 0
0 + -8c = 16 + -14
-8c = 16 + -14

Combine like terms: 16 + -14 = 2
-8c = 2

Divide each side by '-8'.
c = -0.25

Simplifying
c = -0.25

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