Question

1. \\(\frac{1}{2}(3x + 5) = 10\\)

Explanation:

Step1: Eliminate the fraction

Multiply both sides of the equation by 2 to get rid of the fraction.
$$2\times\frac{1}{2}(3x + 5)=2\times10$$
Simplifying both sides, we have:
$$3x + 5 = 20$$

Step2: Isolate the term with x

Subtract 5 from both sides of the equation.
$$3x + 5 - 5 = 20 - 5$$
Simplifying both sides, we get:
$$3x = 15$$

Step3: Solve for x

Divide both sides of the equation by 3.
$$\frac{3x}{3}=\frac{15}{3}$$
Simplifying both sides, we find:
$$x = 5$$

Answer:

\( x = 5 \)