4(3c-1)-5=10c+7

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Solution for 4(3c-1)-5=10c+7 equation:


Simplifying
4(3c + -1) + -5 = 10c + 7

Reorder the terms:
4(-1 + 3c) + -5 = 10c + 7
(-1 * 4 + 3c * 4) + -5 = 10c + 7
(-4 + 12c) + -5 = 10c + 7

Reorder the terms:
-4 + -5 + 12c = 10c + 7

Combine like terms: -4 + -5 = -9
-9 + 12c = 10c + 7

Reorder the terms:
-9 + 12c = 7 + 10c

Solving
-9 + 12c = 7 + 10c

Solving for variable 'c'.

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

Add '-10c' to each side of the equation.
-9 + 12c + -10c = 7 + 10c + -10c

Combine like terms: 12c + -10c = 2c
-9 + 2c = 7 + 10c + -10c

Combine like terms: 10c + -10c = 0
-9 + 2c = 7 + 0
-9 + 2c = 7

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

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

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

Divide each side by '2'.
c = 8

Simplifying
c = 8

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