Question

(6x+1)(3x+2)=(9x-1)(2x+5)-3x

Answer 1

18x^2 + 3x + 12x + 2 = 18x^2 - 2x + 45x - 5 - 3x
15x + 2 = 40x - 5
-25x = -7
x = 7/25 = 0.28

Answer 2

Let's simplify the given equation step by step:

(6x+1)(3x+2) = (9x-1)(2x+5) - 3x

First, perform the multiplication on both sides of the equation:

Expand the left side: (6x+1)(3x+2) = 18x^2 + 12x + 3x + 2 = 18x^2 + 15x + 2

Expand the right side: (9x-1)(2x+5) = 18x^2 + 45x - 2x - 5 = 18x^2 + 43x - 5

Now the equation becomes:

18x^2 + 15x + 2 = 18x^2 + 43x - 5 - 3x

Next, combine like terms on the right side of the equation:

18x^2 + 15x + 2 = 18x^2 + 40x - 5

Now, we can isolate the x term on one side and constant terms on the other side:

Subtract 18x^2 from both sides:

15x + 2 = 40x - 5

Subtract 15x from both sides:

2 = 40x - 15x - 5

Simplify the x terms:

2 = 25x - 5

Now, add 5 to both sides:

2 + 5 = 25x - 5 + 5

Simplify:

7 = 25x

Finally, isolate x by dividing both sides by 25:

x = 7/25

So, the solution to the equation is x = 7/25.