Solve x/2-(3x/5-13/5)=7/5-7/10x

Evaluate

\frac{x}{2} - ((3 \times \frac{x}{5}) - \frac{13}{5}) = \frac{7}{5} - \frac{7}{10} x

Simplify

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\frac{x}{2} - \frac{3 x}{5} + \frac{13}{5} = \frac{7}{5} - \frac{7}{10} x

Multiply both sides of the equation by LCD

(\frac{x}{2} - \frac{3 x}{5} + \frac{13}{5}) \times 10 = (\frac{7}{5} - \frac{7}{10} x) \times 10

Simplify the equation

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- x + 26 = (\frac{7}{5} - \frac{7}{10} x) \times 10

Simplify the equation

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- x + 26 = 14 - 7 x

Move the expression to the left side

- x + 26 + 7 x = 14

Move the expression to the right side

- x + 7 x = 14 - 26

Add and subtract

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6 x = 14 - 26

Add and subtract

6 x = - 12

Divide both sides

\frac{6 x}{6} = \frac{- 12}{6}

Divide the numbers

x = \frac{- 12}{6}

Solution

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x = - 2

Solve the equation