5x+2(x-3)=-2(c-1)

Solution for 5x+2(x-3)=-2(c-1) equation:

Simplifying
5x + 2(x + -3) = -2(c + -1)

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

Reorder the terms:
-6 + 5x + 2x = -2(c + -1)

Combine like terms: 5x + 2x = 7x
-6 + 7x = -2(c + -1)

Reorder the terms:
-6 + 7x = -2(-1 + c)
-6 + 7x = (-1 * -2 + c * -2)
-6 + 7x = (2 + -2c)

Solving
-6 + 7x = 2 + -2c

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 + 7x = 2 + 6 + -2c

Combine like terms: -6 + 6 = 0
0 + 7x = 2 + 6 + -2c
7x = 2 + 6 + -2c

Combine like terms: 2 + 6 = 8
7x = 8 + -2c

Divide each side by '7'.
x = 1.142857143 + -0.2857142857c

Simplifying
x = 1.142857143 + -0.2857142857c