What is the answer to 3/4 x-5/2 = 5/2 x-11/4 ?

The answer to 3/4 x-5/2 = 5/2 x-11/4 is x= 1/7

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3/4 x-5/2 = 5/2 x-11/4

\frac{3}{4} x - \frac{5}{2} = \frac{5}{2} x - \frac{11}{4}

x = \frac{1}{7}

Decimal Notation

x = 0.14285 \dots

Solution steps

\frac{3}{4} x - \frac{5}{2} = \frac{5}{2} x - \frac{11}{4}

Move

\frac{5}{2}

to the right side

\frac{3}{4} x = - \frac{1}{4} + \frac{5}{2} x

Move

\frac{5}{2} x

to the left side

- \frac{7}{4} x = - \frac{1}{4}

Multiply both sides by

4

- 7 x = - 1

Divide both sides by

- 7

x = \frac{1}{7}

x, y + x = 4

x, \frac{x}{5} + \frac{y}{3} = 9

- 2 (x - 1) = 2 (x + 1) - 4

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

\frac{17 x}{2} = \frac{34}{3}

What is the answer to 3/4 x-5/2 = 5/2 x-11/4 ?
The answer to 3/4 x-5/2 = 5/2 x-11/4 is x= 1/7
Solve for x: 3/4 x-5/2 = 5/2 x-11/4
The solution is x= 1/7