2(x-3)=(x+1)

Solution for 2(x-3)=(x+1) equation:

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

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

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

Remove parenthesis around (1 + x)
-6 + 2x = 1 + x

Solving
-6 + 2x = 1 + x

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.
-6 + 2x + -1x = 1 + x + -1x

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

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

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

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

Combine like terms: 1 + 6 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7