What is the answer to 2/4-(3x)/6 =(5x)/3-7/2+1 ?

The answer to 2/4-(3x)/6 =(5x)/3-7/2+1 is x= 18/13

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2/4-(3x)/6 =(5x)/3-7/2+1

\frac{2}{4} - \frac{3 x}{6} = \frac{5 x}{3} - \frac{7}{2} + 1

x = \frac{18}{13}

Decimal Notation

x = 1.38461 \dots

Solution steps

\frac{2}{4} - \frac{3 x}{6} = \frac{5 x}{3} - \frac{7}{2} + 1

Cancel

\frac{2}{4} : \frac{1}{2}

\frac{1}{2} - \frac{3 x}{6} = \frac{5 x}{3} - \frac{7}{2} + 1

Cancel

\frac{3 x}{6} : \frac{x}{2}

\frac{1}{2} - \frac{x}{2} = \frac{5 x}{3} - \frac{7}{2} + 1

Combine the fractions

1 - \frac{7}{2} : - \frac{5}{2}

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

Move

\frac{5 x}{3}

to the left side

\frac{3 - 13 x}{6} = - \frac{5}{2}

Multiply both sides by

6

3 - 13 x = - 15

Move

3

to the right side

- 13 x = - 18

Divide both sides by

- 13

x = \frac{18}{13}

y = 5^{9}

\frac{x - 1}{2} = 1

\frac{\frac{53}{7} - 2}{3} - \frac{\frac{53}{7} - 3}{4} = \frac{\frac{53}{7} - 4}{5}

4 y + 8 = - 12

x, 6 y - 4 x = 24

What is the answer to 2/4-(3x)/6 =(5x)/3-7/2+1 ?
The answer to 2/4-(3x)/6 =(5x)/3-7/2+1 is x= 18/13
Solve for x: 2/4-(3x)/6 =(5x)/3-7/2+1
The solution is x= 18/13