1+6(9-7x)-13x=0

Solution for 1+6(9-7x)-13x=0 equation:

Simplifying
1 + 6(9 + -7x) + -13x = 0
1 + (9 * 6 + -7x * 6) + -13x = 0
1 + (54 + -42x) + -13x = 0

Combine like terms: 1 + 54 = 55
55 + -42x + -13x = 0

Combine like terms: -42x + -13x = -55x
55 + -55x = 0

Solving
55 + -55x = 0

Solving for variable 'x'.

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

Add '-55' to each side of the equation.
55 + -55 + -55x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -55x = 0 + -55
-55x = 0 + -55

Combine like terms: 0 + -55 = -55
-55x = -55

Divide each side by '-55'.
x = 1

Simplifying
x = 1