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 = -4
9x = -4

Divide each side by '9'.
x = -0.4444444444

Simplifying
x = -0.4444444444