Question

b. evaluate the given equations.
for what value of x is the equation 2(x + 1) - x = 10 true?
what is the value of x when \\(\frac{3x}{2}+ 8 = 11\\)?

Explanation:

Step1: Expand the first equation

$2(x+1)-x = 2x + 2 - x$

Step2: Simplify first equation

$2x + 2 - x = x + 2$

Step3: Solve first equation for x

$x + 2 = 10 \implies x = 10 - 2$

Step4: Isolate term with x in second equation

$\frac{3x}{2} = 11 - 8$

Step5: Simplify right-hand side of second equation

$\frac{3x}{2} = 3$

Step6: Solve second equation for x

$3x = 3 \times 2 \implies x = \frac{6}{3}$

Answer:

For $2(x + 1) - x = 10$, $x=8$
For $\frac{3x}{2}+8 = 11$, $x=2$