2(x+2)=1(x-6)

Solution for 2(x+2)=1(x-6) equation:

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

Reorder the terms:
2(2 + x) = 1(x + -6)
(2 * 2 + x * 2) = 1(x + -6)
(4 + 2x) = 1(x + -6)

Reorder the terms:
4 + 2x = 1(-6 + x)
4 + 2x = (-6 * 1 + x * 1)
4 + 2x = (-6 + 1x)

Solving
4 + 2x = -6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 2x + -1x = -6 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
4 + 1x = -6 + 0
4 + 1x = -6

Add '-4' to each side of the equation.
4 + -4 + 1x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -6 + -4
1x = -6 + -4

Combine like terms: -6 + -4 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10