Solve 2(3x-6)=3(5-x)

Evaluate

2 (3 x - 6) = 3 (5 - x)

Calculate

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6 x - 12 = 3 (5 - x)

Calculate

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6 x - 12 = 15 - 3 x

Move the expression to the left side

6 x - 12 - (15 - 3 x) = 0

Calculate

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9 x - 27 = 0

Move the constant to the right-hand side and change its sign

9 x = 0 + 27

Removing 0 doesn't change the value,so remove it from the expression

9 x = 27

Divide both sides

\frac{9 x}{9} = \frac{27}{9}

Divide the numbers

x = \frac{27}{9}

Solution

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x = 3

Solve the equation