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

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

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

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

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

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

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

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

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 7x + 2x = 2 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-6 + 9x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 9x = 2 + 0
-6 + 9x = 2

Add '6' to each side of the equation.
-6 + 6 + 9x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = 2 + 6
9x = 2 + 6

Combine like terms: 2 + 6 = 8
9x = 8

Divide each side by '9'.
x = 0.8888888889

Simplifying
x = 0.8888888889