2[c+4]=3[c+5]

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Solution for 2[c+4]=3[c+5] equation:


Simplifying
2[c + 4] = 3[c + 5]

Reorder the terms:
2[4 + c] = 3[c + 5]
[4 * 2 + c * 2] = 3[c + 5]
[8 + 2c] = 3[c + 5]

Reorder the terms:
8 + 2c = 3[5 + c]
8 + 2c = [5 * 3 + c * 3]
8 + 2c = [15 + 3c]

Solving
8 + 2c = 15 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
8 + 2c + -3c = 15 + 3c + -3c

Combine like terms: 2c + -3c = -1c
8 + -1c = 15 + 3c + -3c

Combine like terms: 3c + -3c = 0
8 + -1c = 15 + 0
8 + -1c = 15

Add '-8' to each side of the equation.
8 + -8 + -1c = 15 + -8

Combine like terms: 8 + -8 = 0
0 + -1c = 15 + -8
-1c = 15 + -8

Combine like terms: 15 + -8 = 7
-1c = 7

Divide each side by '-1'.
c = -7

Simplifying
c = -7

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