3(2c-3)-7=2c+8

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Solution for 3(2c-3)-7=2c+8 equation:


Simplifying
3(2c + -3) + -7 = 2c + 8

Reorder the terms:
3(-3 + 2c) + -7 = 2c + 8
(-3 * 3 + 2c * 3) + -7 = 2c + 8
(-9 + 6c) + -7 = 2c + 8

Reorder the terms:
-9 + -7 + 6c = 2c + 8

Combine like terms: -9 + -7 = -16
-16 + 6c = 2c + 8

Reorder the terms:
-16 + 6c = 8 + 2c

Solving
-16 + 6c = 8 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
-16 + 6c + -2c = 8 + 2c + -2c

Combine like terms: 6c + -2c = 4c
-16 + 4c = 8 + 2c + -2c

Combine like terms: 2c + -2c = 0
-16 + 4c = 8 + 0
-16 + 4c = 8

Add '16' to each side of the equation.
-16 + 16 + 4c = 8 + 16

Combine like terms: -16 + 16 = 0
0 + 4c = 8 + 16
4c = 8 + 16

Combine like terms: 8 + 16 = 24
4c = 24

Divide each side by '4'.
c = 6

Simplifying
c = 6

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