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

The answer to (3/4 x+1/3)-(x+1/3)= 4/3 x-5/4 is x= 15/19

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

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

x = \frac{15}{19}

Decimal Notation

x = 0.78947 \dots

Solution steps

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

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

Expand

\frac{3}{4} x + \frac{1}{3} - (x + \frac{1}{3}) : - \frac{1}{4} x

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

Move

\frac{4}{3} x

to the left side

- \frac{19}{12} x = - \frac{5}{4}

Multiply both sides by

12

- 19 x = - 15

Divide both sides by

- 19

x = \frac{15}{19}

2 - x = - 7

4 (x - 2) = 2 (x + 8)

- 4 x - 10 = 32

3 x (2 x + 4) - 5 x = 6 x^{2} + 2 x - 7

6 x + 3 - 6 x = 3

What is the answer to (3/4 x+1/3)-(x+1/3)= 4/3 x-5/4 ?
The answer to (3/4 x+1/3)-(x+1/3)= 4/3 x-5/4 is x= 15/19
Solve for x: (3/4 x+1/3)-(x+1/3)= 4/3 x-5/4
The solution is x= 15/19