3+9(x-5)=5-9(x-8)

Solution for 3+9(x-5)=5-9(x-8) equation:

Simplifying
3 + 9(x + -5) = 5 + -9(x + -8)

Reorder the terms:
3 + 9(-5 + x) = 5 + -9(x + -8)
3 + (-5 * 9 + x * 9) = 5 + -9(x + -8)
3 + (-45 + 9x) = 5 + -9(x + -8)

Combine like terms: 3 + -45 = -42
-42 + 9x = 5 + -9(x + -8)

Reorder the terms:
-42 + 9x = 5 + -9(-8 + x)
-42 + 9x = 5 + (-8 * -9 + x * -9)
-42 + 9x = 5 + (72 + -9x)

Combine like terms: 5 + 72 = 77
-42 + 9x = 77 + -9x

Solving
-42 + 9x = 77 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-42 + 9x + 9x = 77 + -9x + 9x

Combine like terms: 9x + 9x = 18x
-42 + 18x = 77 + -9x + 9x

Combine like terms: -9x + 9x = 0
-42 + 18x = 77 + 0
-42 + 18x = 77

Add '42' to each side of the equation.
-42 + 42 + 18x = 77 + 42

Combine like terms: -42 + 42 = 0
0 + 18x = 77 + 42
18x = 77 + 42

Combine like terms: 77 + 42 = 119
18x = 119

Divide each side by '18'.
x = 6.611111111

Simplifying
x = 6.611111111