6+9(x-5)=5-9(x-2)

Solution for 6+9(x-5)=5-9(x-2) equation:

Simplifying
6 + 9(x + -5) = 5 + -9(x + -2)

Reorder the terms:
6 + 9(-5 + x) = 5 + -9(x + -2)
6 + (-5 * 9 + x * 9) = 5 + -9(x + -2)
6 + (-45 + 9x) = 5 + -9(x + -2)

Combine like terms: 6 + -45 = -39
-39 + 9x = 5 + -9(x + -2)

Reorder the terms:
-39 + 9x = 5 + -9(-2 + x)
-39 + 9x = 5 + (-2 * -9 + x * -9)
-39 + 9x = 5 + (18 + -9x)

Combine like terms: 5 + 18 = 23
-39 + 9x = 23 + -9x

Solving
-39 + 9x = 23 + -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.
-39 + 9x + 9x = 23 + -9x + 9x

Combine like terms: 9x + 9x = 18x
-39 + 18x = 23 + -9x + 9x

Combine like terms: -9x + 9x = 0
-39 + 18x = 23 + 0
-39 + 18x = 23

Add '39' to each side of the equation.
-39 + 39 + 18x = 23 + 39

Combine like terms: -39 + 39 = 0
0 + 18x = 23 + 39
18x = 23 + 39

Combine like terms: 23 + 39 = 62
18x = 62

Divide each side by '18'.
x = 3.444444444

Simplifying
x = 3.444444444