What is the answer to (x+2)(x-5)=(x-1)(x-6) ?

The answer to (x+2)(x-5)=(x-1)(x-6) is x=4

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(x+2)(x-5)=(x-1)(x-6)

(x + 2) (x - 5) = (x - 1) (x - 6)

x = 4

Solution steps

(x + 2) (x - 5) = (x - 1) (x - 6)

Expand

(x + 2) (x - 5) : x^{2} - 3 x - 10

Expand

(x - 1) (x - 6) : x^{2} - 7 x + 6

x^{2} - 3 x - 10 = x^{2} - 7 x + 6

Move

10

to the right side

x^{2} - 3 x = x^{2} - 7 x + 16

Subtract

x^{2} - 7 x

from both sides

x^{2} - 3 x - (x^{2} - 7 x) = x^{2} - 7 x + 16 - (x^{2} - 7 x)

Simplify

4 x = 16

Divide both sides by

4

x = 4

2 z + 2 = 16

x, - x + y = - y + x

x, - 4 y - 8 x = - 4

5 x - 4 x + 2 = 10

x, 4 y + 8 = 3 x

What is the answer to (x+2)(x-5)=(x-1)(x-6) ?
The answer to (x+2)(x-5)=(x-1)(x-6) is x=4
Solve for x: (x+2)(x-5)=(x-1)(x-6)
The solution is x=4