(2x-3)(x+7)=11x+11

Solution for (2x-3)(x+7)=11x+11 equation:

Simplifying
(2x + -3)(x + 7) = 11x + 11

Reorder the terms:
(-3 + 2x)(x + 7) = 11x + 11

Reorder the terms:
(-3 + 2x)(7 + x) = 11x + 11

Multiply (-3 + 2x) * (7 + x)
(-3(7 + x) + 2x * (7 + x)) = 11x + 11
((7 * -3 + x * -3) + 2x * (7 + x)) = 11x + 11
((-21 + -3x) + 2x * (7 + x)) = 11x + 11
(-21 + -3x + (7 * 2x + x * 2x)) = 11x + 11
(-21 + -3x + (14x + 2x2)) = 11x + 11

Combine like terms: -3x + 14x = 11x
(-21 + 11x + 2x2) = 11x + 11

Reorder the terms:
-21 + 11x + 2x2 = 11 + 11x

Add '-11x' to each side of the equation.
-21 + 11x + -11x + 2x2 = 11 + 11x + -11x

Combine like terms: 11x + -11x = 0
-21 + 0 + 2x2 = 11 + 11x + -11x
-21 + 2x2 = 11 + 11x + -11x

Combine like terms: 11x + -11x = 0
-21 + 2x2 = 11 + 0
-21 + 2x2 = 11

Solving
-21 + 2x2 = 11

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 + 2x2 = 11 + 21

Combine like terms: -21 + 21 = 0
0 + 2x2 = 11 + 21
2x2 = 11 + 21

Combine like terms: 11 + 21 = 32
2x2 = 32

Divide each side by '2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}