Solve 5x + 7/2 = 3/2 * x - 14

Evaluate

5 x + \frac{7}{2} = \frac{3}{2} x - 14

Multiply both sides of the equation by LCM

(5 x + \frac{7}{2}) \times 2 = (\frac{3}{2} x - 14) \times 2

Calculate

More Steps

10 x + 7 = (\frac{3}{2} x - 14) \times 2

Calculate

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10 x + 7 = 3 x - 28

Move the expression to the left side

10 x + 7 - 3 x = - 28

Move the expression to the right side

10 x - 3 x = - 28 - 7

Add and subtract

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7 x = - 28 - 7

Add and subtract

7 x = - 35

Divide both sides

\frac{7 x}{7} = \frac{- 35}{7}

Divide the numbers

x = \frac{- 35}{7}

Solution

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x = - 5

Solve the equation