7(3x+6)=x-(x+2)

Solution for 7(3x+6)=x-(x+2) equation:

Simplifying
7(3x + 6) = x + -1(x + 2)

Reorder the terms:
7(6 + 3x) = x + -1(x + 2)
(6 * 7 + 3x * 7) = x + -1(x + 2)
(42 + 21x) = x + -1(x + 2)

Reorder the terms:
42 + 21x = x + -1(2 + x)
42 + 21x = x + (2 * -1 + x * -1)
42 + 21x = x + (-2 + -1x)

Reorder the terms:
42 + 21x = -2 + x + -1x

Combine like terms: x + -1x = 0
42 + 21x = -2 + 0
42 + 21x = -2

Solving
42 + 21x = -2

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 21x = -2 + -42

Combine like terms: 42 + -42 = 0
0 + 21x = -2 + -42
21x = -2 + -42

Combine like terms: -2 + -42 = -44
21x = -44

Divide each side by '21'.
x = -2.095238095

Simplifying
x = -2.095238095