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

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

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

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

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

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

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

Combine like terms: -4 + -6 = -10
-2 + -1x = -10 + 2x

Solving
-2 + -1x = -10 + 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.
-2 + -1x + -2x = -10 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-2 + -3x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -3x = -10 + 0
-2 + -3x = -10

Add '2' to each side of the equation.
-2 + 2 + -3x = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -10 + 2
-3x = -10 + 2

Combine like terms: -10 + 2 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667