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

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

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

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

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

Remove parenthesis around (2 + x)
3 + 3x = 2(x + 2 + x)

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

Combine like terms: x + x = 2x
3 + 3x = 2(2 + 2x)
3 + 3x = (2 * 2 + 2x * 2)
3 + 3x = (4 + 4x)

Solving
3 + 3x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + 3x + -4x = 4 + 4x + -4x

Combine like terms: 3x + -4x = -1x
3 + -1x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -1x = 4 + 0
3 + -1x = 4

Add '-3' to each side of the equation.
3 + -3 + -1x = 4 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 4 + -3
-1x = 4 + -3

Combine like terms: 4 + -3 = 1
-1x = 1

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

Simplifying
x = -1