2(3c-1)-5=4c+9

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Solution for 2(3c-1)-5=4c+9 equation:


Simplifying
2(3c + -1) + -5 = 4c + 9

Reorder the terms:
2(-1 + 3c) + -5 = 4c + 9
(-1 * 2 + 3c * 2) + -5 = 4c + 9
(-2 + 6c) + -5 = 4c + 9

Reorder the terms:
-2 + -5 + 6c = 4c + 9

Combine like terms: -2 + -5 = -7
-7 + 6c = 4c + 9

Reorder the terms:
-7 + 6c = 9 + 4c

Solving
-7 + 6c = 9 + 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.
-7 + 6c + -4c = 9 + 4c + -4c

Combine like terms: 6c + -4c = 2c
-7 + 2c = 9 + 4c + -4c

Combine like terms: 4c + -4c = 0
-7 + 2c = 9 + 0
-7 + 2c = 9

Add '7' to each side of the equation.
-7 + 7 + 2c = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 2c = 9 + 7
2c = 9 + 7

Combine like terms: 9 + 7 = 16
2c = 16

Divide each side by '2'.
c = 8

Simplifying
c = 8

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