4(2c-1)=6-(c+3)

Solution for 4(2c-1)=6-(c+3) equation:

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

Reorder the terms:
4(-1 + 2c) = 6 + -1(c + 3)
(-1 * 4 + 2c * 4) = 6 + -1(c + 3)
(-4 + 8c) = 6 + -1(c + 3)

Reorder the terms:
-4 + 8c = 6 + -1(3 + c)
-4 + 8c = 6 + (3 * -1 + c * -1)
-4 + 8c = 6 + (-3 + -1c)

Combine like terms: 6 + -3 = 3
-4 + 8c = 3 + -1c

Solving
-4 + 8c = 3 + -1c

Solving for variable 'c'.

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

Add 'c' to each side of the equation.
-4 + 8c + c = 3 + -1c + c

Combine like terms: 8c + c = 9c
-4 + 9c = 3 + -1c + c

Combine like terms: -1c + c = 0
-4 + 9c = 3 + 0
-4 + 9c = 3

Add '4' to each side of the equation.
-4 + 4 + 9c = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 9c = 3 + 4
9c = 3 + 4

Combine like terms: 3 + 4 = 7
9c = 7

Divide each side by '9'.
c = 0.7777777778

Simplifying
c = 0.7777777778