-6(4x+1)+7x+9+(x-3)=4

Solution for -6(4x+1)+7x+9+(x-3)=4 equation:

Simplifying
-6(4x + 1) + 7x + 9 + (x + -3) = 4

Reorder the terms:
-6(1 + 4x) + 7x + 9 + (x + -3) = 4
(1 * -6 + 4x * -6) + 7x + 9 + (x + -3) = 4
(-6 + -24x) + 7x + 9 + (x + -3) = 4

Reorder the terms:
-6 + -24x + 7x + 9 + (-3 + x) = 4

Remove parenthesis around (-3 + x)
-6 + -24x + 7x + 9 + -3 + x = 4

Reorder the terms:
-6 + 9 + -3 + -24x + 7x + x = 4

Combine like terms: -6 + 9 = 3
3 + -3 + -24x + 7x + x = 4

Combine like terms: 3 + -3 = 0
0 + -24x + 7x + x = 4
-24x + 7x + x = 4

Combine like terms: -24x + 7x = -17x
-17x + x = 4

Combine like terms: -17x + x = -16x
-16x = 4

Solving
-16x = 4

Solving for variable 'x'.

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

Divide each side by '-16'.
x = -0.25

Simplifying
x = -0.25