What is the answer to (3x+1)/4-(3-3x)/8 = 2/3 ?

The answer to (3x+1)/4-(3-3x)/8 = 2/3 is x= 19/27

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(3x+1)/4-(3-3x)/8 = 2/3

\frac{3 x + 1}{4} - \frac{3 - 3 x}{8} = \frac{2}{3}

x = \frac{19}{27}

Decimal Notation

x = 0.70370 \dots

Solution steps

\frac{3 x + 1}{4} - \frac{3 - 3 x}{8} = \frac{2}{3}

Multiply by LCM

6 (3 x + 1) - 3 (- 3 x + 3) = 16

Expand

6 (3 x + 1) - 3 (- 3 x + 3) : 27 x - 3

27 x - 3 = 16

Move

3

to the right side

27 x = 19

Divide both sides by

27

x = \frac{19}{27}

5 x + 2 - 2 (x - 3) = x + 6

a, 4 a - 2 b + 3 = 4

x, \frac{x}{3} = 5 + \frac{3 y}{4}

6 x + 3 - 4 x = 13

- 6 x + 36 = 0

What is the answer to (3x+1)/4-(3-3x)/8 = 2/3 ?
The answer to (3x+1)/4-(3-3x)/8 = 2/3 is x= 19/27
Solve for x: (3x+1)/4-(3-3x)/8 = 2/3
The solution is x= 19/27