What is the answer to (2x-3)(3x+5)=(x-1)(6x+5) ?

The answer to (2x-3)(3x+5)=(x-1)(6x+5) is x=5

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(2x-3)(3x+5)=(x-1)(6x+5)

(2 x - 3) (3 x + 5) = (x - 1) (6 x + 5)

x = 5

Solution steps

(2 x - 3) (3 x + 5) = (x - 1) (6 x + 5)

Expand

(2 x - 3) (3 x + 5) : 6 x^{2} + x - 15

Expand

(x - 1) (6 x + 5) : 6 x^{2} - x - 5

6 x^{2} + x - 15 = 6 x^{2} - x - 5

Move

15

to the right side

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

Subtract

6 x^{2} - x

from both sides

6 x^{2} + x - (6 x^{2} - x) = 6 x^{2} - x + 10 - (6 x^{2} - x)

Simplify

2 x = 10

Divide both sides by

2

x = 5

3 x - (- 2 x + 3) = 3 x - (x + 2)

2 y + (\frac{- 5}{4}) = 75

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

x, y = \frac{1}{3} f

x, 4 x - 2 y = - 5

What is the answer to (2x-3)(3x+5)=(x-1)(6x+5) ?
The answer to (2x-3)(3x+5)=(x-1)(6x+5) is x=5
Solve for x: (2x-3)(3x+5)=(x-1)(6x+5)
The solution is x=5