3*(x-3)+5-2x=2(6+x)

Solution for 3*(x-3)+5-2x=2(6+x) equation:

Simplifying
3(x + -3) + 5 + -2x = 2(6 + x)

Reorder the terms:
3(-3 + x) + 5 + -2x = 2(6 + x)
(-3 * 3 + x * 3) + 5 + -2x = 2(6 + x)
(-9 + 3x) + 5 + -2x = 2(6 + x)

Reorder the terms:
-9 + 5 + 3x + -2x = 2(6 + x)

Combine like terms: -9 + 5 = -4
-4 + 3x + -2x = 2(6 + x)

Combine like terms: 3x + -2x = 1x
-4 + 1x = 2(6 + x)
-4 + 1x = (6 * 2 + x * 2)
-4 + 1x = (12 + 2x)

Solving
-4 + 1x = 12 + 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.
-4 + 1x + -2x = 12 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-4 + -1x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + -1x = 12 + 0
-4 + -1x = 12

Add '4' to each side of the equation.
-4 + 4 + -1x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 12 + 4
-1x = 12 + 4

Combine like terms: 12 + 4 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16