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
6 + 24x + 7x + (-3 * 9 + x * 9) = 4
6 + 24x + 7x + (-27 + 9x) = 4

Reorder the terms:
6 + -27 + 24x + 7x + 9x = 4

Combine like terms: 6 + -27 = -21
-21 + 24x + 7x + 9x = 4

Combine like terms: 24x + 7x = 31x
-21 + 31x + 9x = 4

Combine like terms: 31x + 9x = 40x
-21 + 40x = 4

Solving
-21 + 40x = 4

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 40x = 4 + 21

Combine like terms: -21 + 21 = 0
0 + 40x = 4 + 21
40x = 4 + 21

Combine like terms: 4 + 21 = 25
40x = 25

Divide each side by '40'.
x = 0.625

Simplifying
x = 0.625