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

Evaluate

\frac{4}{3} (x - 5) = \frac{1}{2} (3 x - 7)

Multiply the terms

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\frac{4}{3} x - \frac{20}{3} = \frac{1}{2} (3 x - 7)

Multiply the terms

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\frac{4}{3} x - \frac{20}{3} = \frac{3}{2} x - \frac{7}{2}

Multiply both sides of the equation by LCM

(\frac{4}{3} x - \frac{20}{3}) \times 6 = (\frac{3}{2} x - \frac{7}{2}) \times 6

Calculate

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8 x - 40 = (\frac{3}{2} x - \frac{7}{2}) \times 6

Calculate

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8 x - 40 = 9 x - 21

Move the expression to the left side

8 x - 40 - 9 x = - 21

Move the expression to the right side

8 x - 9 x = - 21 + 40

Add and subtract

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- x = - 21 + 40

Add and subtract

- x = 19

Solution

x = - 19

Solve the equation