3+9(x-5)=5-3(x-6)

Solution for 3+9(x-5)=5-3(x-6) equation:

Simplifying
3 + 9(x + -5) = 5 + -3(x + -6)

Reorder the terms:
3 + 9(-5 + x) = 5 + -3(x + -6)
3 + (-5 * 9 + x * 9) = 5 + -3(x + -6)
3 + (-45 + 9x) = 5 + -3(x + -6)

Combine like terms: 3 + -45 = -42
-42 + 9x = 5 + -3(x + -6)

Reorder the terms:
-42 + 9x = 5 + -3(-6 + x)
-42 + 9x = 5 + (-6 * -3 + x * -3)
-42 + 9x = 5 + (18 + -3x)

Combine like terms: 5 + 18 = 23
-42 + 9x = 23 + -3x

Solving
-42 + 9x = 23 + -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.
-42 + 9x + 3x = 23 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-42 + 12x = 23 + -3x + 3x

Combine like terms: -3x + 3x = 0
-42 + 12x = 23 + 0
-42 + 12x = 23

Add '42' to each side of the equation.
-42 + 42 + 12x = 23 + 42

Combine like terms: -42 + 42 = 0
0 + 12x = 23 + 42
12x = 23 + 42

Combine like terms: 23 + 42 = 65
12x = 65

Divide each side by '12'.
x = 5.416666667

Simplifying
x = 5.416666667