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13 votes
13 votes
7x/3+2=-15 solve please!

User Daweo
by
3.2k points

1 Answer

21 votes
21 votes

How to solve your problem

Topics: Algebra, Polynomial

7

3

+

2

=

1

\frac{7x}{3}+2=-1

37x​+2=−1

Solve

1

Find common denominator

7

3

+

2

=

1

\frac{7x}{3}+2=-1

37x​+2=−1

7

3

+

3

2

3

=

1

\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1

37x​+33⋅2​=−1

2

Combine fractions with common denominator

7

3

+

3

2

3

=

1

\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1

37x​+33⋅2​=−1

7

+

3

2

3

=

1

\frac{7x+3 \cdot 2}{3}=-1

37x+3⋅2​=−1

3

Multiply the numbers

7

+

3

2

3

=

1

\frac{7x+{\color{#c92786}{3}} \cdot {\color{#c92786}{2}}}{3}=-1

37x+3⋅2​=−1

7

+

6

3

=

1

\frac{7x+{\color{#c92786}{6}}}{3}=-1

37x+6​=−1

4

Multiply all terms by the same value to eliminate fraction denominators

7

+

6

3

=

1

\frac{7x+6}{3}=-1

37x+6​=−1

3

(

7

+

6

3

)

=

3

(

1

)

3(\frac{7x+6}{3})=3\left(-1\right)

3(37x+6​)=3(−1)

5

Cancel multiplied terms that are in the denominator

3

(

7

+

6

3

)

=

3

(

1

)

3(\frac{7x+6}{3})=3\left(-1\right)

3(37x+6​)=3(−1)

7

+

6

=

3

(

1

)

7x+6=3\left(-1\right)

7x+6=3(−1)

6

Multiply the numbers

7

+

6

=

3

(

1

)

7x+6={\color{#c92786}{3}}\left({\color{#c92786}{-1}}\right)

7x+6=3(−1)

7

+

6

=

3

7x+6={\color{#c92786}{-3}}

7x+6=−3

7

Subtract

6

6

6

from both sides of the equation

7

+

6

=

3

7x+6=-3

7x+6=−3

7

+

6

6

=

3

6

7x+6{\color{#c92786}{-6}}=-3{\color{#c92786}{-6}}

7x+6−6=−3−6

8

Simplify

Subtract the numbers

7

=

9

7x=-9

7x=−9

9

Divide both sides of the equation by the same term

7

=

9

7x=-9

7x=−9

7

7

=

9

7

\frac{7x}{{\color{#c92786}{7}}}=\frac{-9}{{\color{#c92786}{7}}}

77x​=7−9​

10

Simplify

Cancel terms that are in both the numerator and denominator

=

9

7

x=\frac{-9}{7}

x=7−9​

Solution

=

9

7

User Flavia
by
3.1k points