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

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

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

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

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

Combine like terms: 2 + -6 = -4
-3 + 7x = -4 + -1x

Solving
-3 + 7x = -4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + 7x + x = -4 + -1x + x

Combine like terms: 7x + x = 8x
-3 + 8x = -4 + -1x + x

Combine like terms: -1x + x = 0
-3 + 8x = -4 + 0
-3 + 8x = -4

Add '3' to each side of the equation.
-3 + 3 + 8x = -4 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = -4 + 3
8x = -4 + 3

Combine like terms: -4 + 3 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125