4-5(9x+2)=6

Solution for 4-5(9x+2)=6 equation:

Simplifying
4 + -5(9x + 2) = 6

Reorder the terms:
4 + -5(2 + 9x) = 6
4 + (2 * -5 + 9x * -5) = 6
4 + (-10 + -45x) = 6

Combine like terms: 4 + -10 = -6
-6 + -45x = 6

Solving
-6 + -45x = 6

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -45x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -45x = 6 + 6
-45x = 6 + 6

Combine like terms: 6 + 6 = 12
-45x = 12

Divide each side by '-45'.
x = -0.2666666667

Simplifying
x = -0.2666666667