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