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

The answer to (1-4x)/(3x-2)= 2/3 is x= 7/18

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

\frac{1 - 4 x}{3 x - 2} = \frac{2}{3}

x = \frac{7}{18}

Decimal Notation

x = 0.38888 \dots

Solution steps

\frac{1 - 4 x}{3 x - 2} = \frac{2}{3}

Cross multiply

3 - 12 x = 6 x - 4

Move

3

to the right side

- 12 x = 6 x - 7

Move

6 x

to the left side

- 18 x = - 7

Divide both sides by

- 18

x = \frac{7}{18}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{3}

Combine undefined points with solutions:

x = \frac{7}{18}

\frac{3 x + 3}{x - 3} = 7

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

0.1 = 1 - \frac{40}{x}

t, r = \frac{d}{t}

y, x = \frac{2 y - 3}{y + 1}

What is the answer to (1-4x)/(3x-2)= 2/3 ?
The answer to (1-4x)/(3x-2)= 2/3 is x= 7/18
Solve for x: (1-4x)/(3x-2)= 2/3
The solution is x= 7/18