Question

solve x / 2 - 1 / 4 = x / 3 + 1 / 2​

Answer 1

Answer:

How to solve your question

Your question is

2

−

1

⋅

1

4

=

3

+

1

2

\frac{x}{2}-1 \cdot \frac{1}{4}=\frac{x}{3}+\frac{1}{2}

2x−1⋅41=3x+21

Solve

1

Multiply the numbers

2

−

1

⋅

1

4

=

3

+

1

2

\frac{x}{2}{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{1}{4}}}=\frac{x}{3}+\frac{1}{2}

2x−1⋅41=3x+21

2

−

1

4

=

3

+

1

2

\frac{x}{2}{\color{#c92786}{-\frac{1}{4}}}=\frac{x}{3}+\frac{1}{2}

2x−41=3x+21

2

Add

1

4

\frac{1}{4}

41

to both sides of the equation

3

Simplify

4

Multiply all terms by the same value to eliminate fraction denominators

5

Simplify

6

Subtract

2

2x

2x

from both sides of the equation

7

Simplify

Answer 2

Answer:

x = 4.5

Step-by-step explanation:

$\frac{x}{2} - \frac{1}{4} = \frac{x}{3} + \frac{1}{2} \\ \frac{x}{2} - \frac{x}{3} = \frac{1}{2} + \frac{1}{4} \\ \frac{x}{2} - \frac{x}{3} = \frac{3}{4} \\ \frac{x}{6} = \frac{3}{4} \\ x = \frac{3}{4} \times \frac{6}{1} \\ x = \frac{9}{2} \\ x = 4.5$

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