5(2c-1)-4=6c+7

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Solution for 5(2c-1)-4=6c+7 equation:


Simplifying
5(2c + -1) + -4 = 6c + 7

Reorder the terms:
5(-1 + 2c) + -4 = 6c + 7
(-1 * 5 + 2c * 5) + -4 = 6c + 7
(-5 + 10c) + -4 = 6c + 7

Reorder the terms:
-5 + -4 + 10c = 6c + 7

Combine like terms: -5 + -4 = -9
-9 + 10c = 6c + 7

Reorder the terms:
-9 + 10c = 7 + 6c

Solving
-9 + 10c = 7 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
-9 + 10c + -6c = 7 + 6c + -6c

Combine like terms: 10c + -6c = 4c
-9 + 4c = 7 + 6c + -6c

Combine like terms: 6c + -6c = 0
-9 + 4c = 7 + 0
-9 + 4c = 7

Add '9' to each side of the equation.
-9 + 9 + 4c = 7 + 9

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

Combine like terms: 7 + 9 = 16
4c = 16

Divide each side by '4'.
c = 4

Simplifying
c = 4

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