What is the answer to (31)/(2-4(2x-3))= 1/(3(3/4-6x)) ?

The answer to (31)/(2-4(2x-3))= 1/(3(3/4-6x)) is x= 223/2200

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(31)/(2-4(2x-3))= 1/(3(3/4-6x))

\frac{31}{2 - 4 ( 2 x - 3 )} = \frac{1}{3 ( \frac{3}{4} - 6 x )}

x = \frac{223}{2200}

Decimal Notation

x = 0.10136 \dots

Solution steps

\frac{31}{2 - 4 ( 2 x - 3 )} = \frac{1}{3 ( \frac{3}{4} - 6 x )}

Cross multiply

279 - 2232 x = - 32 x + 56

Move

279

to the right side

- 2232 x = - 32 x - 223

Move

32 x

to the left side

- 2200 x = - 223

Divide both sides by

- 2200

x = \frac{223}{2200}

Verify Solutions

Find undefined (singularity) points:

x = \frac{7}{4}, x = \frac{1}{8}

Combine undefined points with solutions:

x = \frac{223}{2200}

\frac{1}{x} + \frac{1}{5} = \frac{4}{5}

p + 3 = \frac{1}{( p ^{2} )}

x^{- 3} = \frac{27}{64}

\frac{x ^{2} - ( 3 a )}{2 \cdot x - a ^{2}} = 0

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

What is the answer to (31)/(2-4(2x-3))= 1/(3(3/4-6x)) ?
The answer to (31)/(2-4(2x-3))= 1/(3(3/4-6x)) is x= 223/2200
Solve for x: (31)/(2-4(2x-3))= 1/(3(3/4-6x))
The solution is x= 223/2200