6+9(x-9)=6-8(x-3)

Solution for 6+9(x-9)=6-8(x-3) equation:

Simplifying
6 + 9(x + -9) = 6 + -8(x + -3)

Reorder the terms:
6 + 9(-9 + x) = 6 + -8(x + -3)
6 + (-9 * 9 + x * 9) = 6 + -8(x + -3)
6 + (-81 + 9x) = 6 + -8(x + -3)

Combine like terms: 6 + -81 = -75
-75 + 9x = 6 + -8(x + -3)

Reorder the terms:
-75 + 9x = 6 + -8(-3 + x)
-75 + 9x = 6 + (-3 * -8 + x * -8)
-75 + 9x = 6 + (24 + -8x)

Combine like terms: 6 + 24 = 30
-75 + 9x = 30 + -8x

Solving
-75 + 9x = 30 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-75 + 9x + 8x = 30 + -8x + 8x

Combine like terms: 9x + 8x = 17x
-75 + 17x = 30 + -8x + 8x

Combine like terms: -8x + 8x = 0
-75 + 17x = 30 + 0
-75 + 17x = 30

Add '75' to each side of the equation.
-75 + 75 + 17x = 30 + 75

Combine like terms: -75 + 75 = 0
0 + 17x = 30 + 75
17x = 30 + 75

Combine like terms: 30 + 75 = 105
17x = 105

Divide each side by '17'.
x = 6.176470588

Simplifying
x = 6.176470588