Solve 1/2 (3x-10)=-13 x-16

Evaluate

\frac{1}{2} (3 x - 10) = - 13 x - 16

Multiply the terms

More Steps

\frac{3}{2} x - 5 = - 13 x - 16

Multiply both sides of the equation by LCM

(\frac{3}{2} x - 5) \times 2 = (- 13 x - 16) \times 2

Calculate

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3 x - 10 = (- 13 x - 16) \times 2

Calculate

More Steps

3 x - 10 = - 26 x - 32

Move the expression to the left side

3 x - 10 + 26 x = - 32

Move the expression to the right side

3 x + 26 x = - 32 + 10

Add and subtract

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29 x = - 32 + 10

Add and subtract

29 x = - 22

Divide both sides

\frac{29 x}{29} = \frac{- 22}{29}

Divide the numbers

x = \frac{- 22}{29}

Solution

x = - \frac{22}{29}

Alternative Form

x \approx - 0.758621

Solve the equation