4x-1x+6=2(1x+1)+1

Solution for 4x-1x+6=2(1x+1)+1 equation:

Simplifying
4x + -1x + 6 = 2(1x + 1) + 1

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

Combine like terms: 4x + -1x = 3x
6 + 3x = 2(1x + 1) + 1

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

Reorder the terms:
6 + 3x = 2 + 1 + 2x

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

Solving
6 + 3x = 3 + 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 + 3x + -2x = 3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + 1x = 3 + 0
6 + 1x = 3

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

Combine like terms: 6 + -6 = 0
0 + 1x = 3 + -6
1x = 3 + -6

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

Divide each side by '1'.
x = -3

Simplifying
x = -3