5(3+7x-9x)-6(3+6+9x)=5

Solution for 5(3+7x-9x)-6(3+6+9x)=5 equation:

Simplifying
5(3 + 7x + -9x) + -6(3 + 6 + 9x) = 5

Combine like terms: 7x + -9x = -2x
5(3 + -2x) + -6(3 + 6 + 9x) = 5
(3 * 5 + -2x * 5) + -6(3 + 6 + 9x) = 5
(15 + -10x) + -6(3 + 6 + 9x) = 5

Combine like terms: 3 + 6 = 9
15 + -10x + -6(9 + 9x) = 5
15 + -10x + (9 * -6 + 9x * -6) = 5
15 + -10x + (-54 + -54x) = 5

Reorder the terms:
15 + -54 + -10x + -54x = 5

Combine like terms: 15 + -54 = -39
-39 + -10x + -54x = 5

Combine like terms: -10x + -54x = -64x
-39 + -64x = 5

Solving
-39 + -64x = 5

Solving for variable 'x'.

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

Add '39' to each side of the equation.
-39 + 39 + -64x = 5 + 39

Combine like terms: -39 + 39 = 0
0 + -64x = 5 + 39
-64x = 5 + 39

Combine like terms: 5 + 39 = 44
-64x = 44

Divide each side by '-64'.
x = -0.6875

Simplifying
x = -0.6875