(x+7)(x+8)-(x+7)(x-8)=45

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Solution for (x+7)(x+8)-(x+7)(x-8)=45 equation: 


Simplifying
(x + 7)(x + 8) + -1(x + 7)(x + -8) = 45

Reorder the terms:
(7 + x)(x + 8) + -1(x + 7)(x + -8) = 45

Reorder the terms:
(7 + x)(8 + x) + -1(x + 7)(x + -8) = 45

Multiply (7 + x) * (8 + x)
(7(8 + x) + x(8 + x)) + -1(x + 7)(x + -8) = 45
((8 * 7 + x * 7) + x(8 + x)) + -1(x + 7)(x + -8) = 45
((56 + 7x) + x(8 + x)) + -1(x + 7)(x + -8) = 45
(56 + 7x + (8 * x + x * x)) + -1(x + 7)(x + -8) = 45
(56 + 7x + (8x + x2)) + -1(x + 7)(x + -8) = 45

Combine like terms: 7x + 8x = 15x
(56 + 15x + x2) + -1(x + 7)(x + -8) = 45

Reorder the terms:
56 + 15x + x2 + -1(7 + x)(x + -8) = 45

Reorder the terms:
56 + 15x + x2 + -1(7 + x)(-8 + x) = 45

Multiply (7 + x) * (-8 + x)
56 + 15x + x2 + -1(7(-8 + x) + x(-8 + x)) = 45
56 + 15x + x2 + -1((-8 * 7 + x * 7) + x(-8 + x)) = 45
56 + 15x + x2 + -1((-56 + 7x) + x(-8 + x)) = 45
56 + 15x + x2 + -1(-56 + 7x + (-8 * x + x * x)) = 45
56 + 15x + x2 + -1(-56 + 7x + (-8x + x2)) = 45

Combine like terms: 7x + -8x = -1x
56 + 15x + x2 + -1(-56 + -1x + x2) = 45
56 + 15x + x2 + (-56 * -1 + -1x * -1 + x2 * -1) = 45
56 + 15x + x2 + (56 + 1x + -1x2) = 45

Reorder the terms:
56 + 56 + 15x + 1x + x2 + -1x2 = 45

Combine like terms: 56 + 56 = 112
112 + 15x + 1x + x2 + -1x2 = 45

Combine like terms: 15x + 1x = 16x
112 + 16x + x2 + -1x2 = 45

Combine like terms: x2 + -1x2 = 0
112 + 16x + 0 = 45
112 + 16x = 45

Solving
112 + 16x = 45

Solving for variable 'x'.

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

Add '-112' to each side of the equation.
112 + -112 + 16x = 45 + -112

Combine like terms: 112 + -112 = 0
0 + 16x = 45 + -112
16x = 45 + -112

Combine like terms: 45 + -112 = -67
16x = -67

Divide each side by '16'.
x = -4.1875

Simplifying
x = -4.1875

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