Question

solve 6x + 2/2x - 4 = 3/4​

Answer 1

मराठी मध्ये शोधा

6x 2 2x 4 3-4 सोडवा

6

+

2

2

−

4

=

3

4

6x+\frac{2}{2}x-4=\frac{3}{4}

Solve

1

Divide the numbers

6

+

2

2

−

4

=

3

4

6x+{\color{#c92786}{\frac{2}{2}}}x-4=\frac{3}{4}

6

+

1

−

4

=

3

4

6x+{\color{#c92786}{1}}x-4=\frac{3}{4}

2

Multiply by 1

6

+

1

−

4

=

3

4

6x+1x-4=\frac{3}{4}

6

+

−

4

=

3

4

6x+x-4=\frac{3}{4}

3

6

+

−

4

=

3

4

7

−

4

=

3

4

4

Add

4

4

to both sides of the equation

7

−

4

=

3

4

7x-4=\frac{3}{4}

7

−

4

+

4

=

3

4

+

4

7x-4+{\color{#c92786}{4}}=\frac{3}{4}+{\color{#c92786}{4}}

5

Simplify

Add the numbers

Add the numbers

7

=

1

9

4

7x=\frac{19}{4}

6

Divide both sides of the equation by the same term

7

=

1

9

4

7x=\frac{19}{4}

7

7

=

1

9

4

7

\frac{7x}{{\color{#c92786}{7}}}=\frac{\frac{19}{4}}{{\color{#c92786}{7}}}

7

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

9

2

8

x=\frac{19}{28}

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Solution

=

1

9

2

8

Answer 2

In context of question asked,

We have to determine the value of x in given expression.

As per question,

We have,

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

So, for determining the value of "x" we will cross multiply the given terms,

Thus we will get,

$4\times (6x+2) = 3\times (2x-4)\\=>24x+8=6x-12$

Now separating the like terms on one side,

Thus we will get,

$24x+8=6x-12\\=>24x-6x=-12-8\\=>18x = -18\\=>x = -\frac{18}{18}\\=>x = -1$

Hence, value of "x" in the given equation will be -1.

Hence, The actual question will be:

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