What is the answer to 7/4+1/5 x-3/2 = 4/5 x ?

The answer to 7/4+1/5 x-3/2 = 4/5 x is x= 5/12

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7/4+1/5 x-3/2 = 4/5 x

\frac{7}{4} + \frac{1}{5} x - \frac{3}{2} = \frac{4}{5} x

x = \frac{5}{12}

Decimal Notation

x = 0.41666 \dots

Solution steps

\frac{7}{4} + \frac{1}{5} x - \frac{3}{2} = \frac{4}{5} x

Group like terms

\frac{1}{5} x + \frac{7}{4} - \frac{3}{2} = \frac{4}{5} x

Combine the fractions

\frac{7}{4} - \frac{3}{2} : \frac{1}{4}

\frac{1}{4} + \frac{1}{5} x = \frac{4}{5} x

Move

\frac{1}{4}

to the right side

\frac{1}{5} x = \frac{4}{5} x - \frac{1}{4}

Move

\frac{4}{5} x

to the left side

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

Multiply both sides by

5

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

Divide both sides by

- 3

x = \frac{5}{12}

- 6 x + 80 = 0

x \cdot \frac{180}{100} \cdot \frac{85}{100} = \frac{55 \cdot 4}{58}

3 d - 4 + d = 8 d - (- 12)

a, \frac{a}{11} + \frac{b}{3} = \frac{31}{33}

(5 x - 3)^{2} - (4 x + 1)^{2} = (3 x + 2)^{2} - 4 (12 x + 5)

What is the answer to 7/4+1/5 x-3/2 = 4/5 x ?
The answer to 7/4+1/5 x-3/2 = 4/5 x is x= 5/12
Solve for x: 7/4+1/5 x-3/2 = 4/5 x
The solution is x= 5/12