Question

enter the value of b when the expression 10x + b is equivalent to 2(5x - 2).

Explanation:

Step1: Expand the right-hand side

Use distributive property: $a(b-c)=ab-ac$
$2(5x-2)=2\times5x - 2\times2$

Step2: Simplify the expanded expression

Calculate the products
$2\times5x - 2\times2=10x-4$

Step3: Match coefficients of like terms

Set $10x+b=10x-4$, so $b=-4$

Answer:

$-4$