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

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

Simplifying
2x + -3(2 + x) = 5 + x
2x + (2 * -3 + x * -3) = 5 + x
2x + (-6 + -3x) = 5 + x

Reorder the terms:
-6 + 2x + -3x = 5 + x

Combine like terms: 2x + -3x = -1x
-6 + -1x = 5 + x

Solving
-6 + -1x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + -1x + -1x = 5 + x + -1x

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

Combine like terms: x + -1x = 0
-6 + -2x = 5 + 0
-6 + -2x = 5

Add '6' to each side of the equation.
-6 + 6 + -2x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 5 + 6
-2x = 5 + 6

Combine like terms: 5 + 6 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5