What is the answer to 103=(2x-3)/(10-6x) ?

The answer to 103=(2x-3)/(10-6x) is x= 1033/620

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103=(2x-3)/(10-6x)

103 = \frac{2 x - 3}{10 - 6 x}

x = \frac{1033}{620}

Decimal Notation

x = 1.66612 \dots

Solution steps

103 = \frac{2 x - 3}{10 - 6 x}

Multiply both sides by

10 - 6 x

103 (10 - 6 x) = 2 x - 3

Expand

103 (10 - 6 x) : 1030 - 618 x

1030 - 618 x = 2 x - 3

Move

1030

to the right side

- 618 x = 2 x - 1033

Move

2 x

to the left side

- 620 x = - 1033

Divide both sides by

- 620

x = \frac{1033}{620}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{3}

Combine undefined points with solutions:

x = \frac{1033}{620}

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

\frac{3 x}{x ^{2} - 7 x} = 8

\frac{1}{x + 2} + 5 = \frac{16}{x + 2}

x = \frac{24}{x - 5}

4 = \frac{52}{g}

What is the answer to 103=(2x-3)/(10-6x) ?
The answer to 103=(2x-3)/(10-6x) is x= 1033/620
Solve for x: 103=(2x-3)/(10-6x)
The solution is x= 1033/620