Solve 3/5(x+2)=x-4

Evaluate

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

Multiply the terms

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

Multiply both sides of the equation by LCM

(\frac{3}{5} x + \frac{6}{5}) \times 5 = (x - 4) \times 5

Calculate

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3 x + 6 = (x - 4) \times 5

Calculate

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3 x + 6 = 5 x - 20

Move the expression to the left side

3 x + 6 - 5 x = - 20

Move the expression to the right side

3 x - 5 x = - 20 - 6

Add and subtract

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- 2 x = - 20 - 6

Add and subtract

- 2 x = - 26

Change the signs on both sides of the equation

2 x = 26

Divide both sides

\frac{2 x}{2} = \frac{26}{2}

Divide the numbers

x = \frac{26}{2}

Solution

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x = 13

Solve the equation