What is the answer to 1/2-(12)/(x+3)=4 ?

The answer to 1/2-(12)/(x+3)=4 is x=-45/7

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1/2-(12)/(x+3)=4

\frac{1}{2} - \frac{12}{x + 3} = 4

x = - \frac{45}{7}

Decimal Notation

x = - 6.42857 \dots

Solution steps

\frac{1}{2} - \frac{12}{x + 3} = 4

Multiply by LCM

x - 21 = 8 x + 24

Move

21

to the right side

x = 8 x + 45

Move

8 x

to the left side

- 7 x = 45

Divide both sides by

- 7

x = - \frac{45}{7}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - \frac{45}{7}

(y - 1) (y - 2) = \frac{1}{2 y ^{2}}

\frac{a x + b}{c x + d} = 9

\frac{a x + b}{c x + d} = 8

\frac{15}{2 x} + \frac{7}{x} = 1

\frac{∣ x - 2 ∣}{x + 1} = 5

What is the answer to 1/2-(12)/(x+3)=4 ?
The answer to 1/2-(12)/(x+3)=4 is x=-45/7
Solve for x: 1/2-(12)/(x+3)=4
The solution is x=-45/7