what is the solution to this equation? $\frac{1}{2}x + \frac{1}{5} = \frac{7}{10}$\na $x = -1$\nb $x = 3$\nc…

what is the solution to this equation? $\frac{1}{2}x + \frac{1}{5} = \frac{7}{10}$\na $x = -1$\nb $x = 3$\nc $x = -2$\nd $x = 1$

what is the solution to this equation? $\frac{1}{2}x + \frac{1}{5} = \frac{7}{10}$\na $x = -1$\nb $x = 3$\nc $x = -2$\nd $x = 1$

Answer

Answer:

D. $x=1$

Explanation:

Step1: Isolate the $x$-term

Subtract $\frac{1}{5}$ from both sides: $\frac{1}{2}x = \frac{7}{10} - \frac{1}{5}$

Step2: Simplify the right-hand side

Convert $\frac{1}{5}$ to $\frac{2}{10}$: $\frac{1}{2}x = \frac{7}{10} - \frac{2}{10} = \frac{5}{10} = \frac{1}{2}$

Step3: Solve for $x$

Multiply both sides by 2: $x = \frac{1}{2} \times 2 = 1$