Solve each of these equations.

2(x+5)=3x+1

x = 9

Step-by-step explanation:

2(x + 5) = 3x + 1

open the parenthesis

2x + 10 = 3x + 1

subtract 2x from both sides of the equation

2x - 2x + 10 = 3x - 2x + 1

10 = x + 1

subtract 1 from both sides of the equation

9 = x

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)