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

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

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

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

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

Reorder the terms:
6 + 3x = 4(-3 + x)
6 + 3x = (-3 * 4 + x * 4)
6 + 3x = (-12 + 4x)

Solving
6 + 3x = -12 + 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 = -12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = -12 + 0
6 + -1x = -12

Add '-6' to each side of the equation.
6 + -6 + -1x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -12 + -6
-1x = -12 + -6

Combine like terms: -12 + -6 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18