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

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

Simplifying
4x + -9 + 2(2 + -3x) = 5 + -3(x + -4)
4x + -9 + (2 * 2 + -3x * 2) = 5 + -3(x + -4)
4x + -9 + (4 + -6x) = 5 + -3(x + -4)

Reorder the terms:
-9 + 4 + 4x + -6x = 5 + -3(x + -4)

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

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

Reorder the terms:
-5 + -2x = 5 + -3(-4 + x)
-5 + -2x = 5 + (-4 * -3 + x * -3)
-5 + -2x = 5 + (12 + -3x)

Combine like terms: 5 + 12 = 17
-5 + -2x = 17 + -3x

Solving
-5 + -2x = 17 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-5 + -2x + 3x = 17 + -3x + 3x

Combine like terms: -2x + 3x = 1x
-5 + 1x = 17 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 1x = 17 + 0
-5 + 1x = 17

Add '5' to each side of the equation.
-5 + 5 + 1x = 17 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 17 + 5
1x = 17 + 5

Combine like terms: 17 + 5 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22