2x-(6+x)=3(x-5)+1

Solution for 2x-(6+x)=3(x-5)+1 equation:

Simplifying
2x + -1(6 + x) = 3(x + -5) + 1
2x + (6 * -1 + x * -1) = 3(x + -5) + 1
2x + (-6 + -1x) = 3(x + -5) + 1

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

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

Reorder the terms:
-6 + 1x = 3(-5 + x) + 1
-6 + 1x = (-5 * 3 + x * 3) + 1
-6 + 1x = (-15 + 3x) + 1

Reorder the terms:
-6 + 1x = -15 + 1 + 3x

Combine like terms: -15 + 1 = -14
-6 + 1x = -14 + 3x

Solving
-6 + 1x = -14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 1x + -3x = -14 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-6 + -2x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -2x = -14 + 0
-6 + -2x = -14

Add '6' to each side of the equation.
-6 + 6 + -2x = -14 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -14 + 6
-2x = -14 + 6

Combine like terms: -14 + 6 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4