What is the answer to 2/3 (x-7)= 3/4 (4x-5) ?

The answer to 2/3 (x-7)= 3/4 (4x-5) is x=-11/28

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2/3 (x-7)= 3/4 (4x-5)

\frac{2}{3} (x - 7) = \frac{3}{4} (4 x - 5)

x = - \frac{11}{28}

Decimal Notation

x = - 0.39285 \dots

Solution steps

\frac{2}{3} (x - 7) = \frac{3}{4} (4 x - 5)

Expand

\frac{2}{3} (x - 7) : \frac{2}{3} x - \frac{14}{3}

Expand

\frac{3}{4} (4 x - 5) : 3 x - \frac{15}{4}

\frac{2}{3} x - \frac{14}{3} = 3 x - \frac{15}{4}

Move

\frac{14}{3}

to the right side

\frac{2}{3} x = 3 x + \frac{11}{12}

Move

3 x

to the left side

- \frac{7}{3} x = \frac{11}{12}

Multiply both sides by

3

- 7 x = \frac{11}{4}

Divide both sides by

- 7

x = - \frac{11}{28}

x (x + 2) + (x + 2)

1.4 x + 6.1 = - 7.9

\frac{4}{6 + 2}

- 14 + 2 x + 3 = 4 x - 13 - 7 x

x^{3} - 5 x^{2} + 16 x - 80

What is the answer to 2/3 (x-7)= 3/4 (4x-5) ?
The answer to 2/3 (x-7)= 3/4 (4x-5) is x=-11/28
Solve for x: 2/3 (x-7)= 3/4 (4x-5)
The solution is x=-11/28