What is the answer to (x+1)(2x+5)=(2x+3)(x-4)+5 ?

The answer to (x+1)(2x+5)=(2x+3)(x-4)+5 is x=-1

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(x+1)(2x+5)=(2x+3)(x-4)+5

(x + 1) (2 x + 5) = (2 x + 3) (x - 4) + 5

x = - 1

Solution steps

(x + 1) (2 x + 5) = (2 x + 3) (x - 4) + 5

Expand

(x + 1) (2 x + 5) : 2 x^{2} + 7 x + 5

Expand

(2 x + 3) (x - 4) + 5 : 2 x^{2} - 5 x - 7

2 x^{2} + 7 x + 5 = 2 x^{2} - 5 x - 7

Move

5

to the right side

2 x^{2} + 7 x = 2 x^{2} - 5 x - 12

Subtract

2 x^{2} - 5 x

from both sides

2 x^{2} + 7 x - (2 x^{2} - 5 x) = 2 x^{2} - 5 x - 12 - (2 x^{2} - 5 x)

Simplify

12 x = - 12

Divide both sides by

12

x = - 1

\frac{5}{2} - 5

4 x + 6 = 38

4 x - 2 > 8 x - 2

x = (x - 6)^{2}

2 x = \frac{5}{4}

What is the answer to (x+1)(2x+5)=(2x+3)(x-4)+5 ?
The answer to (x+1)(2x+5)=(2x+3)(x-4)+5 is x=-1
Solve for x: (x+1)(2x+5)=(2x+3)(x-4)+5
The solution is x=-1