2(5c+2)-2=3(2c+3)+9

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Solution for 2(5c+2)-2=3(2c+3)+9 equation: 


Simplifying
2(5c + 2) + -2 = 3(2c + 3) + 9

Reorder the terms:
2(2 + 5c) + -2 = 3(2c + 3) + 9
(2 * 2 + 5c * 2) + -2 = 3(2c + 3) + 9
(4 + 10c) + -2 = 3(2c + 3) + 9

Reorder the terms:
4 + -2 + 10c = 3(2c + 3) + 9

Combine like terms: 4 + -2 = 2
2 + 10c = 3(2c + 3) + 9

Reorder the terms:
2 + 10c = 3(3 + 2c) + 9
2 + 10c = (3 * 3 + 2c * 3) + 9
2 + 10c = (9 + 6c) + 9

Reorder the terms:
2 + 10c = 9 + 9 + 6c

Combine like terms: 9 + 9 = 18
2 + 10c = 18 + 6c

Solving
2 + 10c = 18 + 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.
2 + 10c + -6c = 18 + 6c + -6c

Combine like terms: 10c + -6c = 4c
2 + 4c = 18 + 6c + -6c

Combine like terms: 6c + -6c = 0
2 + 4c = 18 + 0
2 + 4c = 18

Add '-2' to each side of the equation.
2 + -2 + 4c = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 4c = 18 + -2
4c = 18 + -2

Combine like terms: 18 + -2 = 16
4c = 16

Divide each side by '4'.
c = 4

Simplifying
c = 4

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