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

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


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

Reorder the terms:
2(2 + 5c) + -2c = 2(2c + 3) + 7
(2 * 2 + 5c * 2) + -2c = 2(2c + 3) + 7
(4 + 10c) + -2c = 2(2c + 3) + 7

Combine like terms: 10c + -2c = 8c
4 + 8c = 2(2c + 3) + 7

Reorder the terms:
4 + 8c = 2(3 + 2c) + 7
4 + 8c = (3 * 2 + 2c * 2) + 7
4 + 8c = (6 + 4c) + 7

Reorder the terms:
4 + 8c = 6 + 7 + 4c

Combine like terms: 6 + 7 = 13
4 + 8c = 13 + 4c

Solving
4 + 8c = 13 + 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.
4 + 8c + -4c = 13 + 4c + -4c

Combine like terms: 8c + -4c = 4c
4 + 4c = 13 + 4c + -4c

Combine like terms: 4c + -4c = 0
4 + 4c = 13 + 0
4 + 4c = 13

Add '-4' to each side of the equation.
4 + -4 + 4c = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 4c = 13 + -4
4c = 13 + -4

Combine like terms: 13 + -4 = 9
4c = 9

Divide each side by '4'.
c = 2.25

Simplifying
c = 2.25

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