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

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

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

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

Remove parenthesis around (3x)
2 * 3x = 3(3 + (x + -4))

Multiply 2 * 3
6x = 3(3 + (x + -4))

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

Remove parenthesis around (-4 + x)
6x = 3(3 + -4 + x)

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

Solving
6x = -3 + 3x

Solving for variable 'x'.

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

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

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

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

Divide each side by '3'.
x = -1

Simplifying
x = -1