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

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

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

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

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

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

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

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

Expand

x + \frac{x - 3 - \frac{1}{2} ( 4 - 3 x )}{3} : \frac{11 x}{6} - \frac{5}{3}

Expand

\frac{2}{3} (1 - \frac{5 x}{2}) : \frac{2}{3} - \frac{5 x}{3}

\frac{11 x}{6} - \frac{5}{3} = \frac{2}{3} - \frac{5 x}{3}

Multiply by LCM

11 x - 10 = 4 - 10 x

Move

10

to the right side

11 x = - 10 x + 14

Move

10 x

to the left side

21 x = 14

Divide both sides by

21

x = \frac{2}{3}

\frac{3}{3 15}

∣ 3 x - 4 ∣ = 12

2 x - 5 x = 9

- 8 \cdot (- 10) - 7 \cdot \frac{1}{- 1}

(\frac{1}{81})^{\frac{1}{4}}

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