9(x-3)=-3(x+4)+17

Solution for 9(x-3)=-3(x+4)+17 equation:

Simplifying
9(x + -3) = -3(x + 4) + 17

Reorder the terms:
9(-3 + x) = -3(x + 4) + 17
(-3 * 9 + x * 9) = -3(x + 4) + 17
(-27 + 9x) = -3(x + 4) + 17

Reorder the terms:
-27 + 9x = -3(4 + x) + 17
-27 + 9x = (4 * -3 + x * -3) + 17
-27 + 9x = (-12 + -3x) + 17

Reorder the terms:
-27 + 9x = -12 + 17 + -3x

Combine like terms: -12 + 17 = 5
-27 + 9x = 5 + -3x

Solving
-27 + 9x = 5 + -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.
-27 + 9x + 3x = 5 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-27 + 12x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-27 + 12x = 5 + 0
-27 + 12x = 5

Add '27' to each side of the equation.
-27 + 27 + 12x = 5 + 27

Combine like terms: -27 + 27 = 0
0 + 12x = 5 + 27
12x = 5 + 27

Combine like terms: 5 + 27 = 32
12x = 32

Divide each side by '12'.
x = 2.666666667

Simplifying
x = 2.666666667