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

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

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

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

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

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

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

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

Solving
1 + 2x = 5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 2x + -6x = 5 + 6x + -6x

Combine like terms: 2x + -6x = -4x
1 + -4x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -4x = 5 + 0
1 + -4x = 5

Add '-1' to each side of the equation.
1 + -1 + -4x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 5 + -1
-4x = 5 + -1

Combine like terms: 5 + -1 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1