What is the answer to (3x-2)/(4x+7)=64 ?

The answer to (3x-2)/(4x+7)=64 is x=-450/253

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(3x-2)/(4x+7)=64

\frac{3 x - 2}{4 x + 7} = 64

x = - \frac{450}{253}

Decimal Notation

x = - 1.77865 \dots

Solution steps

\frac{3 x - 2}{4 x + 7} = 64

Multiply both sides by

4 x + 7

3 x - 2 = 64 (4 x + 7)

Expand

64 (4 x + 7) : 256 x + 448

3 x - 2 = 256 x + 448

Move

2

to the right side

3 x = 256 x + 450

Move

256 x

to the left side

- 253 x = 450

Divide both sides by

- 253

x = - \frac{450}{253}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{7}{4}

Combine undefined points with solutions:

x = - \frac{450}{253}

\frac{25}{x} \cdot 1 = 0.2

\frac{1 - x ^{2}}{x} = 0

\frac{x}{3 + 99 x} = 297

\frac{12}{x} = - 5

\frac{n - 5}{n + 5} = \frac{7}{4}

What is the answer to (3x-2)/(4x+7)=64 ?
The answer to (3x-2)/(4x+7)=64 is x=-450/253
Solve for x: (3x-2)/(4x+7)=64
The solution is x=-450/253