-2(x-3)+4x=(x+1)

Solution for -2(x-3)+4x=(x+1) equation:

Simplifying
-2(x + -3) + 4x = (x + 1)

Reorder the terms:
-2(-3 + x) + 4x = (x + 1)
(-3 * -2 + x * -2) + 4x = (x + 1)
(6 + -2x) + 4x = (x + 1)

Combine like terms: -2x + 4x = 2x
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 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5