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

The answer to 2x(x+3)=(x+1)(2x-5) is x=-5/9

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

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

x = - \frac{5}{9}

Decimal Notation

x = - 0.55555 \dots

Solution steps

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

Expand

2 x (x + 3) : 2 x^{2} + 6 x

Expand

(x + 1) (2 x - 5) : 2 x^{2} - 3 x - 5

2 x^{2} + 6 x = 2 x^{2} - 3 x - 5

Subtract

2 x^{2} - 3 x

from both sides

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

Simplify

9 x = - 5

Divide both sides by

9

x = - \frac{5}{9}

x, - 6 x + 3 y = - 9

3^{2} + (x + 1)^{2} = (x + 2)^{2}

\frac{6 x - 8}{33} = \frac{x - 2}{3} - \frac{1 - 5 x}{6}

a, a + b = 3

5 x - 6 = 2 x + 3

What is the answer to 2x(x+3)=(x+1)(2x-5) ?
The answer to 2x(x+3)=(x+1)(2x-5) is x=-5/9
Solve for x: 2x(x+3)=(x+1)(2x-5)
The solution is x=-5/9