Question

question 7
solve and check the equation.
8x - 5 = 11
enter answer
question 8
solve and check the equation.
7x - (2x - 1) = 2

Explanation:

Step1: Isolate the term with x in Question 7

Add 5 to both sides of $8x - 5=11$.
$8x-5 + 5=11 + 5$
$8x=16$

Step2: Solve for x in Question 7

Divide both sides by 8.
$\frac{8x}{8}=\frac{16}{8}$
$x = 2$

Step3: Check the solution in Question 7

Substitute $x = 2$ into the original equation: $8\times2-5=16 - 5=11$.

Step4: Simplify the left - hand side in Question 8

Expand $7x-(2x - 1)=2$.
$7x-2x + 1=2$
$5x+1=2$

Step5: Isolate the term with x in Question 8

Subtract 1 from both sides.
$5x+1-1=2 - 1$
$5x=1$

Step6: Solve for x in Question 8

Divide both sides by 5.
$\frac{5x}{5}=\frac{1}{5}$
$x=\frac{1}{5}$

Step7: Check the solution in Question 8

Substitute $x=\frac{1}{5}$ into the original equation: $7\times\frac{1}{5}-(2\times\frac{1}{5}-1)=\frac{7}{5}-(\frac{2}{5}-1)=\frac{7}{5}-\frac{2}{5}+1=\frac{5}{5}+1=2$.

Answer:

Question 7: $x = 2$
Question 8: $x=\frac{1}{5}$