What is the answer to (-3)/(4x+6)= 55/16 ?

The answer to (-3)/(4x+6)= 55/16 is x=-189/110

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(-3)/(4x+6)= 55/16

\frac{- 3}{4 x + 6} = \frac{55}{16}

x = - \frac{189}{110}

Decimal Notation

x = - 1.71818 \dots

Solution steps

\frac{- 3}{4 x + 6} = \frac{55}{16}

Cross multiply

- 48 = (4 x + 6) \cdot 55

Switch sides

(4 x + 6) \cdot 55 = - 48

Divide both sides by

55

4 x + 6 = - \frac{48}{55}

Move

6

to the right side

4 x = - \frac{378}{55}

Divide both sides by

4

x = - \frac{189}{110}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{3}{2}

Combine undefined points with solutions:

x = - \frac{189}{110}

\frac{( 1 + x )}{( 1 - x )} = 3

\frac{( 2 x ^{2} + x - 5 )}{( x - 5 )} = \frac{( x ^{2} + x - 6 )}{( x - 6 )}

\frac{15}{4 - 7 x} = 9

- x^{- 1} = 4

\frac{x ^{2} + 1}{x ^{2}} = 3

What is the answer to (-3)/(4x+6)= 55/16 ?
The answer to (-3)/(4x+6)= 55/16 is x=-189/110
Solve for x: (-3)/(4x+6)= 55/16
The solution is x=-189/110