Question

x/2+0.75x= 2x/3 = (x+1)/2​

Answer 1

Answer:

The value of the expression is x=6.

Step-by-step explanation:

Given : Expression $\frac{x}{2}+0.75x-\frac{2x}{3}=\frac{x+1}{2}$

To find : Solve the expression  ?

Solution :

$\frac{x}{2}+0.75x-\frac{2x}{3}=\frac{x+1}{2}$

Cross multiply,

$\frac{2\times x}{2}+0.75x\times 2-\frac{2x\times 2}{3}=x+1$

$x+1.5x-\frac{4x}{3}=x+1$

$\frac{3x+1.5x\times 3-4x}{3}=x+1$

$3x+4.5x-4x=3x+3$

$0.5x=3$

$x=\frac{3}{0.5}$

$x=6$

The value of the expression is x=6.

Answer 2

Answer:

$6$

Step-by-step explanation:

Given expression,

$\frac{x}{2}+0.75x = \frac{2x}{3}+\frac{x+1}{2}$

$\frac{x}{2}+\frac{75}{100}x=\frac{4x+3x+3}{6}$

$\frac{x}{2}+\frac{3}{4}x=\frac{7x+3}{6}$

$\frac{2x+3x}{4}=\frac{7x+3}{6}$  ( Adding fractions )

$\frac{5x}{4}=\frac{7x+3}{6}$

$30x = 28x + 12$  ( cross multiplication )

$30x-28x = 12$   ( Subtraction property of equality )

$2x=12$

$\implies x = \frac{12}{2}=6$  ( division property of equality )