Question

If 2x-3/2 = 5x + 3/4, then x =

Answer 1

$\red{2x - \frac{3}{2} = 5x + \frac{3}{4} } \\ \green{ 3x = - \frac{3}{2} - \frac{3}{4} } \\ \pink{x = - ( \frac{6 + 3}{4}) } \\ \bold{\orange{x = - \frac{9}{4} }}$
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Answer 2

The value of x is -3/4.

Step-by-step explanation:

Given: Equation $2x-\frac{3}{2} = 5x + \frac{3}{4}$

To Find: The value of x

Solution:

• Finding the value of x

We have given the equation,  

$2x-\frac{3}{2} = 5x + \frac{3}{4}$

Rearranging the above equation, we get

$\Rightarrow 5x - 2x = -\frac{3}{2} - \frac{3}{4}$

$\Rightarrow 3x = - 3 \Big( \frac{1}{2} + \frac{1}{4} \Big)$

$\Rightarrow x = - \Big( \frac{1}{2} + \frac{1}{4} \Big) = - \frac{3}{4}$

Hence, we get the value of x, which is -3/4.