There is probably a sign missing in your equation.
If that was 8x - 5 = 2x + 5, then by subtracting 2x from both sides you would have
6x - 5 = 5 and by adding 5 to both sides you would have
6x = 10 and by dividing both sides by 6 you would have
x = 10/6 or 5/3 if you want the simplest form.
Check it by replacing x with 5/3
8(5/3) - 5 = 40/3 - 15/3 = 25/3
2(5/3) + 5 = 10/3 + 15/3 = 25/3
It checks.
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(2x - 1)(2x + 5)
x2+8x = -3x2+5 4x2+8x-5 = 0 (2x+5)(2x-1) = 0 x = -5/2 or x = 1/2
2x + 5 - 5 = 2x. You can not solve for x because this is not an equation.
(2x - 1)(2x + 5)
Set up the equation and solve: 8x + 8 = 2x +38 (subtract 2x and 8 from both sides of the equation) 6x = 30 (divide both sides of the equation by 6) x = 5