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

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

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

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

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

Combine like terms: 4x + 2x = 6x
6 + 6x = 3(c + -1)

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

Solving
6 + 6x = -3 + 3c

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 6x = -3 + -6 + 3c

Combine like terms: 6 + -6 = 0
0 + 6x = -3 + -6 + 3c
6x = -3 + -6 + 3c

Combine like terms: -3 + -6 = -9
6x = -9 + 3c

Divide each side by '6'.
x = -1.5 + 0.5c

Simplifying
x = -1.5 + 0.5c