(9x-1)(x+3)-(3x-1)(3x+2)=22

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Solution for (9x-1)(x+3)-(3x-1)(3x+2)=22 equation: 


Simplifying
(9x + -1)(x + 3) + -1(3x + -1)(3x + 2) = 22

Reorder the terms:
(-1 + 9x)(x + 3) + -1(3x + -1)(3x + 2) = 22

Reorder the terms:
(-1 + 9x)(3 + x) + -1(3x + -1)(3x + 2) = 22

Multiply (-1 + 9x) * (3 + x)
(-1(3 + x) + 9x * (3 + x)) + -1(3x + -1)(3x + 2) = 22
((3 * -1 + x * -1) + 9x * (3 + x)) + -1(3x + -1)(3x + 2) = 22
((-3 + -1x) + 9x * (3 + x)) + -1(3x + -1)(3x + 2) = 22
(-3 + -1x + (3 * 9x + x * 9x)) + -1(3x + -1)(3x + 2) = 22
(-3 + -1x + (27x + 9x2)) + -1(3x + -1)(3x + 2) = 22

Combine like terms: -1x + 27x = 26x
(-3 + 26x + 9x2) + -1(3x + -1)(3x + 2) = 22

Reorder the terms:
-3 + 26x + 9x2 + -1(-1 + 3x)(3x + 2) = 22

Reorder the terms:
-3 + 26x + 9x2 + -1(-1 + 3x)(2 + 3x) = 22

Multiply (-1 + 3x) * (2 + 3x)
-3 + 26x + 9x2 + -1(-1(2 + 3x) + 3x * (2 + 3x)) = 22
-3 + 26x + 9x2 + -1((2 * -1 + 3x * -1) + 3x * (2 + 3x)) = 22
-3 + 26x + 9x2 + -1((-2 + -3x) + 3x * (2 + 3x)) = 22
-3 + 26x + 9x2 + -1(-2 + -3x + (2 * 3x + 3x * 3x)) = 22
-3 + 26x + 9x2 + -1(-2 + -3x + (6x + 9x2)) = 22

Combine like terms: -3x + 6x = 3x
-3 + 26x + 9x2 + -1(-2 + 3x + 9x2) = 22
-3 + 26x + 9x2 + (-2 * -1 + 3x * -1 + 9x2 * -1) = 22
-3 + 26x + 9x2 + (2 + -3x + -9x2) = 22

Reorder the terms:
-3 + 2 + 26x + -3x + 9x2 + -9x2 = 22

Combine like terms: -3 + 2 = -1
-1 + 26x + -3x + 9x2 + -9x2 = 22

Combine like terms: 26x + -3x = 23x
-1 + 23x + 9x2 + -9x2 = 22

Combine like terms: 9x2 + -9x2 = 0
-1 + 23x + 0 = 22
-1 + 23x = 22

Solving
-1 + 23x = 22

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 23x = 22 + 1

Combine like terms: -1 + 1 = 0
0 + 23x = 22 + 1
23x = 22 + 1

Combine like terms: 22 + 1 = 23
23x = 23

Divide each side by '23'.
x = 1

Simplifying
x = 1

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