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

The answer to 1/3 x+1/4 = 2/5 (x-3/4) is x= 33/4

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1/3 x+1/4 = 2/5 (x-3/4)

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

x = \frac{33}{4}

Decimal Notation

x = 8.25

Solution steps

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

Expand

\frac{2}{5} (x - \frac{3}{4}) : \frac{2}{5} x - \frac{3}{10}

\frac{1}{3} x + \frac{1}{4} = \frac{2}{5} x - \frac{3}{10}

Move

\frac{1}{4}

to the right side

\frac{1}{3} x = - \frac{11}{20} + \frac{2}{5} x

Move

\frac{2}{5} x

to the left side

- \frac{1}{15} x = - \frac{11}{20}

Multiply both sides by

- 15

x = \frac{33}{4}

1.5 - (9 - 4 x) = 0.5 (8 x + 1)

x, - 6 x - 2 y = 4

x, f = 0

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

6 (x - 2) = 4

What is the answer to 1/3 x+1/4 = 2/5 (x-3/4) ?
The answer to 1/3 x+1/4 = 2/5 (x-3/4) is x= 33/4
Solve for x: 1/3 x+1/4 = 2/5 (x-3/4)
The solution is x= 33/4