(2x-3)(x+7)=x(x-7)+x^2+15

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Solution for (2x-3)(x+7)=x(x-7)+x^2+15 equation: 


Simplifying
(2x + -3)(x + 7) = x(x + -7) + x2 + 15

Reorder the terms:
(-3 + 2x)(x + 7) = x(x + -7) + x2 + 15

Reorder the terms:
(-3 + 2x)(7 + x) = x(x + -7) + x2 + 15

Multiply (-3 + 2x) * (7 + x)
(-3(7 + x) + 2x * (7 + x)) = x(x + -7) + x2 + 15
((7 * -3 + x * -3) + 2x * (7 + x)) = x(x + -7) + x2 + 15
((-21 + -3x) + 2x * (7 + x)) = x(x + -7) + x2 + 15
(-21 + -3x + (7 * 2x + x * 2x)) = x(x + -7) + x2 + 15
(-21 + -3x + (14x + 2x2)) = x(x + -7) + x2 + 15

Combine like terms: -3x + 14x = 11x
(-21 + 11x + 2x2) = x(x + -7) + x2 + 15

Reorder the terms:
-21 + 11x + 2x2 = x(-7 + x) + x2 + 15
-21 + 11x + 2x2 = (-7 * x + x * x) + x2 + 15
-21 + 11x + 2x2 = (-7x + x2) + x2 + 15

Reorder the terms:
-21 + 11x + 2x2 = 15 + -7x + x2 + x2

Combine like terms: x2 + x2 = 2x2
-21 + 11x + 2x2 = 15 + -7x + 2x2

Add '-2x2' to each side of the equation.
-21 + 11x + 2x2 + -2x2 = 15 + -7x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-21 + 11x + 0 = 15 + -7x + 2x2 + -2x2
-21 + 11x = 15 + -7x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-21 + 11x = 15 + -7x + 0
-21 + 11x = 15 + -7x

Solving
-21 + 11x = 15 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-21 + 11x + 7x = 15 + -7x + 7x

Combine like terms: 11x + 7x = 18x
-21 + 18x = 15 + -7x + 7x

Combine like terms: -7x + 7x = 0
-21 + 18x = 15 + 0
-21 + 18x = 15

Add '21' to each side of the equation.
-21 + 21 + 18x = 15 + 21

Combine like terms: -21 + 21 = 0
0 + 18x = 15 + 21
18x = 15 + 21

Combine like terms: 15 + 21 = 36
18x = 36

Divide each side by '18'.
x = 2

Simplifying
x = 2

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