7(c-4)-(2c-6)=3c-5c

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Solution for 7(c-4)-(2c-6)=3c-5c equation:


Simplifying
7(c + -4) + -1(2c + -6) = 3c + -5c

Reorder the terms:
7(-4 + c) + -1(2c + -6) = 3c + -5c
(-4 * 7 + c * 7) + -1(2c + -6) = 3c + -5c
(-28 + 7c) + -1(2c + -6) = 3c + -5c

Reorder the terms:
-28 + 7c + -1(-6 + 2c) = 3c + -5c
-28 + 7c + (-6 * -1 + 2c * -1) = 3c + -5c
-28 + 7c + (6 + -2c) = 3c + -5c

Reorder the terms:
-28 + 6 + 7c + -2c = 3c + -5c

Combine like terms: -28 + 6 = -22
-22 + 7c + -2c = 3c + -5c

Combine like terms: 7c + -2c = 5c
-22 + 5c = 3c + -5c

Combine like terms: 3c + -5c = -2c
-22 + 5c = -2c

Solving
-22 + 5c = -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.
-22 + 5c + 2c = -2c + 2c

Combine like terms: 5c + 2c = 7c
-22 + 7c = -2c + 2c

Combine like terms: -2c + 2c = 0
-22 + 7c = 0

Add '22' to each side of the equation.
-22 + 22 + 7c = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 7c = 0 + 22
7c = 0 + 22

Combine like terms: 0 + 22 = 22
7c = 22

Divide each side by '7'.
c = 3.142857143

Simplifying
c = 3.142857143

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