What is the value of x? (image attached) asap ! double points and giving brainliest to first correct answer! : )

The value of x = 5 answer (a)

Step-by-step explanation:

∵ There is a line parallel to the base of the Δ and intersected the other two sides formed a small Δ inside the large triangle

∴ The small Δ and the large Δ are similar

∴ Their sides are proportion

∴

∴

∴ x(2x - 1) = (x - 2)(2x + 5)

∴ 2x² - x = 2x² + 5x - 4x -10

∴ 2x² - x = 2x² + x - 10

∴ -x - x = -10

∴ -2x = -10

∴ x = -10 ÷ -2 = 5

the first option is the answer.

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.