Solve 2x/3+1=7x/15+3

Evaluate

(2 \times \frac{x}{3}) + 1 = (7 \times \frac{x}{15}) + 3

Multiply the terms

\frac{2 x}{3} + 1 = (7 \times \frac{x}{15}) + 3

Multiply the terms

\frac{2 x}{3} + 1 = \frac{7 x}{15} + 3

Multiply both sides of the equation by LCD

(\frac{2 x}{3} + 1) \times 15 = (\frac{7 x}{15} + 3) \times 15

Simplify the equation

More Steps

10 x + 15 = (\frac{7 x}{15} + 3) \times 15

Simplify the equation

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10 x + 15 = 7 x + 45

Move the expression to the left side

10 x + 15 - 7 x = 45

Move the expression to the right side

10 x - 7 x = 45 - 15

Add and subtract

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3 x = 45 - 15

Add and subtract

3 x = 30

Divide both sides

\frac{3 x}{3} = \frac{30}{3}

Divide the numbers

x = \frac{30}{3}

Solution

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x = 10

Solve the equation