4(3c-1)-2=10c+2

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Solution for 4(3c-1)-2=10c+2 equation:


Simplifying
4(3c + -1) + -2 = 10c + 2

Reorder the terms:
4(-1 + 3c) + -2 = 10c + 2
(-1 * 4 + 3c * 4) + -2 = 10c + 2
(-4 + 12c) + -2 = 10c + 2

Reorder the terms:
-4 + -2 + 12c = 10c + 2

Combine like terms: -4 + -2 = -6
-6 + 12c = 10c + 2

Reorder the terms:
-6 + 12c = 2 + 10c

Solving
-6 + 12c = 2 + 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.
-6 + 12c + -10c = 2 + 10c + -10c

Combine like terms: 12c + -10c = 2c
-6 + 2c = 2 + 10c + -10c

Combine like terms: 10c + -10c = 0
-6 + 2c = 2 + 0
-6 + 2c = 2

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

Combine like terms: -6 + 6 = 0
0 + 2c = 2 + 6
2c = 2 + 6

Combine like terms: 2 + 6 = 8
2c = 8

Divide each side by '2'.
c = 4

Simplifying
c = 4

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