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:

x/2 +0.75x - 2x/3 = x+1/2

Now cross multiply.

2 . x/2 + 0.75x . 2 - 2x .2 /3 = x + 1

x + 1.5 x - 4x/3 = x + 1

3x + 1.5x . 3 - 4x/3 = x + 1

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

0.5 x = 3

x = 3/0.5

x = 6

The value of the expression is x=6.

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Answer 2

Answer:

The value of x would be 6.

Step-by-step explanation:

Given expression,

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

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

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

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

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

30x = 28x + 12

30x - 28x = 12

2x = 12

$\implies x = \frac{12}{2}=6$