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

Solution for 4=2(x-3)+3x+6 equation:

Simplifying
4 = 2(x + -3) + 3x + 6

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

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

Combine like terms: -6 + 6 = 0
4 = 0 + 2x + 3x
4 = 2x + 3x

Combine like terms: 2x + 3x = 5x
4 = 5x

Solving
4 = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -5x = 0

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8