2x-3(x+4)=9-(3+2x)

Solution for 2x-3(x+4)=9-(3+2x) equation:

Simplifying
2x + -3(x + 4) = 9 + -1(3 + 2x)

Reorder the terms:
2x + -3(4 + x) = 9 + -1(3 + 2x)
2x + (4 * -3 + x * -3) = 9 + -1(3 + 2x)
2x + (-12 + -3x) = 9 + -1(3 + 2x)

Reorder the terms:
-12 + 2x + -3x = 9 + -1(3 + 2x)

Combine like terms: 2x + -3x = -1x
-12 + -1x = 9 + -1(3 + 2x)
-12 + -1x = 9 + (3 * -1 + 2x * -1)
-12 + -1x = 9 + (-3 + -2x)

Combine like terms: 9 + -3 = 6
-12 + -1x = 6 + -2x

Solving
-12 + -1x = 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.
-12 + -1x + 2x = 6 + -2x + 2x

Combine like terms: -1x + 2x = 1x
-12 + 1x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 1x = 6 + 0
-12 + 1x = 6

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

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

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

Divide each side by '1'.
x = 18

Simplifying
x = 18