(7х-1)×(х+5)=(3+7х)×(х+3)

To solve the equation (7x-1)×(x+5) = (3+7x)×(x+3), we can begin by expanding both sides of the equation:

Expanding the left side:

(7x-1)×(x+5) = 7x×x + 7x×5 - 1×x - 1×5 = 7x² + 35x - x - 5 = 7x² + 34x - 5

Expanding the right side:

(3+7x)×(x+3) = 3×x + 3×3 + 7x×x + 7x×3 = 3x + 9 + 7x² + 21x = 7x² + 24x + 9

Now, we have the equation:

7x² + 34x - 5 = 7x² + 24x + 9

To solve for x, we can begin by getting all the terms on one side of the equation:

7x² + 34x - 5 - 7x² - 24x - 9 = 0

Combining like terms:

10x - 14 = 0

To isolate x, we can add 14 to both sides:

10x = 14

Then, divide both sides by 10:

x = 14/10

Simplifying the fraction:

x = 7/5

So the solution to the equation is x = 7/5.