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

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

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

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

Reorder the terms:
6 + -5x + 4x = 21

Combine like terms: -5x + 4x = -1x
6 + -1x = 21

Solving
6 + -1x = 21

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 21 + -6
-1x = 21 + -6

Combine like terms: 21 + -6 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15