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

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

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

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

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

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

Add '-3x' to each side of the equation.
-6 + 3x + -3x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 0 = 12 + 3x + -3x
-6 = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 = 12 + 0
-6 = 12

Solving
-6 = 12

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.