3(2c-4)-7=2c+1

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Solution for 3(2c-4)-7=2c+1 equation:


Simplifying
3(2c + -4) + -7 = 2c + 1

Reorder the terms:
3(-4 + 2c) + -7 = 2c + 1
(-4 * 3 + 2c * 3) + -7 = 2c + 1
(-12 + 6c) + -7 = 2c + 1

Reorder the terms:
-12 + -7 + 6c = 2c + 1

Combine like terms: -12 + -7 = -19
-19 + 6c = 2c + 1

Reorder the terms:
-19 + 6c = 1 + 2c

Solving
-19 + 6c = 1 + 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.
-19 + 6c + -2c = 1 + 2c + -2c

Combine like terms: 6c + -2c = 4c
-19 + 4c = 1 + 2c + -2c

Combine like terms: 2c + -2c = 0
-19 + 4c = 1 + 0
-19 + 4c = 1

Add '19' to each side of the equation.
-19 + 19 + 4c = 1 + 19

Combine like terms: -19 + 19 = 0
0 + 4c = 1 + 19
4c = 1 + 19

Combine like terms: 1 + 19 = 20
4c = 20

Divide each side by '4'.
c = 5

Simplifying
c = 5

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