6(2x+1)-3(4x+1)+x=2

Solution for 6(2x+1)-3(4x+1)+x=2 equation:

Simplifying
6(2x + 1) + -3(4x + 1) + x = 2

Reorder the terms:
6(1 + 2x) + -3(4x + 1) + x = 2
(1 * 6 + 2x * 6) + -3(4x + 1) + x = 2
(6 + 12x) + -3(4x + 1) + x = 2

Reorder the terms:
6 + 12x + -3(1 + 4x) + x = 2
6 + 12x + (1 * -3 + 4x * -3) + x = 2
6 + 12x + (-3 + -12x) + x = 2

Reorder the terms:
6 + -3 + 12x + -12x + x = 2

Combine like terms: 6 + -3 = 3
3 + 12x + -12x + x = 2

Combine like terms: 12x + -12x = 0
3 + 0 + x = 2
3 + x = 2

Solving
3 + x = 2

Solving for variable 'x'.

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

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

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

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

Simplifying
x = -1