Solve 10-x=\frac{2x+4}{6}

Evaluate

10 - x = \frac{2 x + 4}{6}

Divide the terms

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10 - x = \frac{x + 2}{3}

Multiply both sides of the equation by LCD

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

Simplify the equation

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30 - 3 x = \frac{x + 2}{3} \times 3

Simplify the equation

30 - 3 x = x + 2

Move the expression to the left side

30 - 3 x - x = 2

Move the expression to the right side

- 3 x - x = 2 - 30

Add and subtract

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- 4 x = 2 - 30

Add and subtract

- 4 x = - 28

Change the signs on both sides of the equation

4 x = 28

Divide both sides

\frac{4 x}{4} = \frac{28}{4}

Divide the numbers

x = \frac{28}{4}

Solution

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x = 7

10 X=\frac{2x+4}{6}