Question

The value of x in 3/4 x=7-x is

Answer 1

Answer:

3x/4=7-x

3x=4(7-x)

3x=28-4x

3x+4x=28

7x=28

x=28/4

x=4

Step-by-step explanation:

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Answer 2

Given expression: $\[\frac{3}{4}x = 7 - x\]$.

To find: the value of x.

Solution:

Simplify the given expression.

$\[\frac{3}{4}x = 7 - x\]$

$\[ \Rightarrow \frac{3}{4}x + x = 7\]$

$\[ \Rightarrow \frac{{3x + 4x}}{4} = 7\]$

$\[ \Rightarrow \frac{{7x}}{4} = 7\]$

$\[\begin{array}{l} \Rightarrow 7x = 7 \times 4\\ \Rightarrow 7x = 28\\ \Rightarrow x = \frac{{28}}{7}\\ \Rightarrow x = 4\end{array}\]$

Hence, the value of x is 4.