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

The answer to 3/5 ((x-1)/3+1)+x= 3/4 ((x-2)/3) is x=-18/19

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

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

x = - \frac{18}{19}

Decimal Notation

x = - 0.94736 \dots

Solution steps

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

Multiply

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

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

Multiply by LCM

4 (x + 2) + 20 x = 5 (x - 2)

Expand

4 (x + 2) + 20 x : 24 x + 8

Expand

5 (x - 2) : 5 x - 10

24 x + 8 = 5 x - 10

Move

8

to the right side

24 x = 5 x - 18

Move

5 x

to the left side

19 x = - 18

Divide both sides by

19

x = - \frac{18}{19}

165 \cdot \frac{π}{180}

\frac{3}{4} - \frac{3}{4}

64 p^{6} - 4 q^{4}

5 (- 2 x - 2) - 2 x - 4 = 10

4 j + 1 \geq 9

What is the answer to 3/5 ((x-1)/3+1)+x= 3/4 ((x-2)/3) ?
The answer to 3/5 ((x-1)/3+1)+x= 3/4 ((x-2)/3) is x=-18/19
Solve for x: 3/5 ((x-1)/3+1)+x= 3/4 ((x-2)/3)
The solution is x=-18/19