What is the answer to 30=(6(x-1))/(5+2x) ?

The answer to 30=(6(x-1))/(5+2x) is x=-26/9

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30=(6(x-1))/(5+2x)

30 = \frac{6 ( x - 1 )}{5 + 2 x}

x = - \frac{26}{9}

Decimal Notation

x = - 2.88888 \dots

Solution steps

30 = \frac{6 ( x - 1 )}{5 + 2 x}

Multiply both sides by

5 + 2 x

30 (5 + 2 x) = 6 (x - 1)

Expand

30 (5 + 2 x) : 150 + 60 x

Expand

6 (x - 1) : 6 x - 6

150 + 60 x = 6 x - 6

Move

150

to the right side

60 x = 6 x - 156

Move

6 x

to the left side

54 x = - 156

Divide both sides by

54

x = - \frac{26}{9}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{2}

Combine undefined points with solutions:

x = - \frac{26}{9}

\frac{100}{360} = \frac{5 π}{x}

- 3 = x + \frac{3}{x}

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

\frac{x}{x + 4} = \frac{6}{5}

\frac{2 x}{x + 1} = \frac{5}{x - 3} + 1

What is the answer to 30=(6(x-1))/(5+2x) ?
The answer to 30=(6(x-1))/(5+2x) is x=-26/9
Solve for x: 30=(6(x-1))/(5+2x)
The solution is x=-26/9