x-3(x+2)+(-2)=42

Solution for x-3(x+2)+(-2)=42 equation:

Simplifying
x + -3(x + 2) + (-2) = 42

Reorder the terms:
x + -3(2 + x) + (-2) = 42
x + (2 * -3 + x * -3) + (-2) = 42
x + (-6 + -3x) + (-2) = 42
x + -6 + -3x + -2 = 42

Reorder the terms:
-6 + -2 + x + -3x = 42

Combine like terms: -6 + -2 = -8
-8 + x + -3x = 42

Combine like terms: x + -3x = -2x
-8 + -2x = 42

Solving
-8 + -2x = 42

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -2x = 42 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 42 + 8
-2x = 42 + 8

Combine like terms: 42 + 8 = 50
-2x = 50

Divide each side by '-2'.
x = -25

Simplifying
x = -25