3(x-3)+5=9+4(2-x)

Solution for 3(x-3)+5=9+4(2-x) equation:

Simplifying
3(x + -3) + 5 = 9 + 4(2 + -1x)

Reorder the terms:
3(-3 + x) + 5 = 9 + 4(2 + -1x)
(-3 * 3 + x * 3) + 5 = 9 + 4(2 + -1x)
(-9 + 3x) + 5 = 9 + 4(2 + -1x)

Reorder the terms:
-9 + 5 + 3x = 9 + 4(2 + -1x)

Combine like terms: -9 + 5 = -4
-4 + 3x = 9 + 4(2 + -1x)
-4 + 3x = 9 + (2 * 4 + -1x * 4)
-4 + 3x = 9 + (8 + -4x)

Combine like terms: 9 + 8 = 17
-4 + 3x = 17 + -4x

Solving
-4 + 3x = 17 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-4 + 3x + 4x = 17 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-4 + 7x = 17 + -4x + 4x

Combine like terms: -4x + 4x = 0
-4 + 7x = 17 + 0
-4 + 7x = 17

Add '4' to each side of the equation.
-4 + 4 + 7x = 17 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 17 + 4
7x = 17 + 4

Combine like terms: 17 + 4 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3