6-2(x-2)=4-1(2+x)

Solution for 6-2(x-2)=4-1(2+x) equation:

Simplifying
6 + -2(x + -2) = 4 + -1(2 + x)

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

Combine like terms: 6 + 4 = 10
10 + -2x = 4 + -1(2 + x)
10 + -2x = 4 + (2 * -1 + x * -1)
10 + -2x = 4 + (-2 + -1x)

Combine like terms: 4 + -2 = 2
10 + -2x = 2 + -1x

Solving
10 + -2x = 2 + -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.
10 + -2x + x = 2 + -1x + x

Combine like terms: -2x + x = -1x
10 + -1x = 2 + -1x + x

Combine like terms: -1x + x = 0
10 + -1x = 2 + 0
10 + -1x = 2

Add '-10' to each side of the equation.
10 + -10 + -1x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 2 + -10
-1x = 2 + -10

Combine like terms: 2 + -10 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8