Question

QQ.5-3x/4=8x what is value of x​

Answer 1

Step-by-step explanation:

Given:

$\begin{gathered}5 - \frac{3x}{4} = 8x \\ \end{gathered}$

To find: Value of x

Solution:

Step 1: Take LCM in Left hand side

$\begin{gathered} \frac{20 - 3x}{4} = 8x \\ \end{gathered}$

Step 2: Cross multiply

$\begin{gathered} \frac{20 - 3x}{4} = \frac{8x}{1} \\ \\ 1 \times (20 - 3x) = 4 \times 8x \\ \\ 20 - 3x = 32x \\ \\ \end{gathered}$

Step 3: Take 3x to RHS

$\begin{gathered}20 = 32x + 3x \\ \\ 20 = 35x \\ \\ \end{gathered}$

Step 4: Swap sides

$\begin{gathered}35x = 20 \\ \\ x = \frac{20}{35} \\ \\ \end{gathered}$

Step 5: Cancel common factors

$\begin{gathered}x = \frac{4}{7} \\ \\ \end{gathered}$

Final answer:

$\begin{gathered}\bold{\red{x = \frac{4}{7}}} \\ \\ \end{gathered}$

Hope it helps you.

To learn more on brainly:

Give the geometric representation of 2x + 5 = 0 as an equation

(i) In one variable

(ii) in two variables .

https://brainly.in/question/43635983