6+2(x-3)=x-3(2+x)

Solution for 6+2(x-3)=x-3(2+x) equation:

Simplifying
6 + 2(x + -3) = x + -3(2 + x)

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

Combine like terms: 6 + -6 = 0
0 + 2x = x + -3(2 + x)
2x = x + -3(2 + x)
2x = x + (2 * -3 + x * -3)
2x = x + (-6 + -3x)

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

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

Solving
2x = -6 + -2x

Solving for variable 'x'.

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

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

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

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

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5