Question

solve for x:x/2=5+x/3​

Answer 1

Answer:

How to solve your problem

2

=

5

+

3

\frac{\frac{x}{x}}{2}=5+\frac{x}{3}

2xx=5+3x

Solve

1

Cancel terms that are in both the numerator and denominator

2

=

5

+

3

\frac{{\color{#c92786}{\frac{x}{x}}}}{2}=5+\frac{x}{3}

2xx=5+3x

1

1

2

=

5

+

3

\frac{{\color{#c92786}{\frac{1}{1}}}}{2}=5+\frac{x}{3}

211=5+3x

2

Find common denominator

3

Combine fractions with common denominator

4

Multiply the numbers

5

Rearrange terms

6

Multiply all terms by the same value to eliminate fraction denominators

7

Cancel multiplied terms that are in the denominator

8

Multiply the numbers

9

Subtract

1

5

15

15

from both sides of the equation

10

Simplify

Solution

=

−

2

7

2

Step-by-step explanation:

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Answer 2

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

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

$\frac{3x - 2}{6} = 5$

x=30