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

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

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

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

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

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

Reorder the terms:
-6 + 3x = 4 + -2 + 4x

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

Solving
-6 + 3x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 3x + -4x = 2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-6 + -1x = 2 + 0
-6 + -1x = 2

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

Combine like terms: -6 + 6 = 0
0 + -1x = 2 + 6
-1x = 2 + 6

Combine like terms: 2 + 6 = 8
-1x = 8

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

Simplifying
x = -8