-6(4x+1)=24x+6

Solution for -6(4x+1)=24x+6 equation:

Simplifying
-6(4x + 1) = 24x + 6

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

Reorder the terms:
-6 + -24x = 6 + 24x

Solving
-6 + -24x = 6 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-6 + -24x + -24x = 6 + 24x + -24x

Combine like terms: -24x + -24x = -48x
-6 + -48x = 6 + 24x + -24x

Combine like terms: 24x + -24x = 0
-6 + -48x = 6 + 0
-6 + -48x = 6

Add '6' to each side of the equation.
-6 + 6 + -48x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -48x = 6 + 6
-48x = 6 + 6

Combine like terms: 6 + 6 = 12
-48x = 12

Divide each side by '-48'.
x = -0.25

Simplifying
x = -0.25