What is the answer to 1/(4*m-7)=2 ?

The answer to 1/(4*m-7)=2 is m= 15/8

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1/(4*m-7)=2

\frac{1}{4 \cdot m - 7} = 2

m = \frac{15}{8}

Decimal Notation

m = 1.875

Solution steps

\frac{1}{4 m - 7} = 2

Multiply both sides by

4 m - 7

1 = 2 (4 m - 7)

Switch sides

2 (4 m - 7) = 1

Divide both sides by

2

4 m - 7 = \frac{1}{2}

Move

7

to the right side

4 m = \frac{15}{2}

Divide both sides by

4

m = \frac{15}{8}

Verify Solutions

Find undefined (singularity) points:

m = \frac{7}{4}

Combine undefined points with solutions:

m = \frac{15}{8}

\frac{( x - 5 )}{x} - \frac{( x - 7 )}{( x - 1 )} = \frac{5}{x}

y = \frac{1}{( 4 - y ^{2} )}

b, \frac{1}{d ^{2}} = \frac{1}{b ^{2}} + \frac{1}{c ^{2}}

a, a - c = 2 \frac{( a + b )}{a}

e^{l} n x = \frac{x ^{1}}{x}