-6(4x+1)+7x+9(x-13)=0

Solution for -6(4x+1)+7x+9(x-13)=0 equation:

Simplifying
-6(4x + 1) + 7x + 9(x + -13) = 0

Reorder the terms:
-6(1 + 4x) + 7x + 9(x + -13) = 0
(1 * -6 + 4x * -6) + 7x + 9(x + -13) = 0
(-6 + -24x) + 7x + 9(x + -13) = 0

Reorder the terms:
-6 + -24x + 7x + 9(-13 + x) = 0
-6 + -24x + 7x + (-13 * 9 + x * 9) = 0
-6 + -24x + 7x + (-117 + 9x) = 0

Reorder the terms:
-6 + -117 + -24x + 7x + 9x = 0

Combine like terms: -6 + -117 = -123
-123 + -24x + 7x + 9x = 0

Combine like terms: -24x + 7x = -17x
-123 + -17x + 9x = 0

Combine like terms: -17x + 9x = -8x
-123 + -8x = 0

Solving
-123 + -8x = 0

Solving for variable 'x'.

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

Add '123' to each side of the equation.
-123 + 123 + -8x = 0 + 123

Combine like terms: -123 + 123 = 0
0 + -8x = 0 + 123
-8x = 0 + 123

Combine like terms: 0 + 123 = 123
-8x = 123

Divide each side by '-8'.
x = -15.375

Simplifying
x = -15.375