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

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

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

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

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

Reorder the terms:
3 + 3x = 2[6 + -1 + 3x + -1x]

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

Combine like terms: 3x + -1x = 2x
3 + 3x = 2[5 + 2x]
3 + 3x = [5 * 2 + 2x * 2]
3 + 3x = [10 + 4x]

Solving
3 + 3x = 10 + 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 = 10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
3 + -1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -1x = 10 + 0
3 + -1x = 10

Add '-3' to each side of the equation.
3 + -3 + -1x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 10 + -3
-1x = 10 + -3

Combine like terms: 10 + -3 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7