6=-5(4x+1)+21x

Solution for 6=-5(4x+1)+21x equation:

Simplifying
6 = -5(4x + 1) + 21x

Reorder the terms:
6 = -5(1 + 4x) + 21x
6 = (1 * -5 + 4x * -5) + 21x
6 = (-5 + -20x) + 21x

Combine like terms: -20x + 21x = 1x
6 = -5 + 1x

Solving
6 = -5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -1x = -5 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + -1x = -5 + 0
6 + -1x = -5

Add '-6' to each side of the equation.
6 + -6 + -1x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -5 + -6
-1x = -5 + -6

Combine like terms: -5 + -6 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11