Solve (4x+10):(5x+10)=5:6

Question

Solve the equation

x = 10

Evaluate

(4 x + 10) \div (5 x + 10) = 5 \div 6

Find the domain

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Evaluate

5 x + 10 \neq = 0

Move the constant to the right side

5 x \neq = 0 - 10

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

5 x \neq = - 10

Divide both sides

\frac{5 x}{5} \neq = \frac{- 10}{5}

Divide the numbers

x \neq = \frac{- 10}{5}

Divide the numbers

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Evaluate

\frac{- 10}{5}

Reduce the numbers

\frac{- 2}{1}

Calculate

- 2

x \neq = - 2

(4 x + 10) \div (5 x + 10) = 5 \div 6, x \neq = - 2

Rewrite the expression

\frac{4 x + 10}{5 x + 10} = 5 \div 6

Rewrite the expression

\frac{4 x + 10}{5 x + 10} = \frac{5}{6}

Cross multiply

(4 x + 10) \times 6 = (5 x + 10) \times 5

Simplify the equation

6 (4 x + 10) = (5 x + 10) \times 5

Simplify the equation

6 (4 x + 10) = 5 (5 x + 10)

Calculate

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Evaluate

6 (4 x + 10)

Apply the distributive property

6 \times 4 x + 6 \times 10

Multiply the numbers

24 x + 6 \times 10

Multiply the numbers

24 x + 60

24 x + 60 = 5 (5 x + 10)

Calculate

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Evaluate

5 (5 x + 10)

Apply the distributive property

5 \times 5 x + 5 \times 10

Multiply the numbers

25 x + 5 \times 10

Multiply the numbers

25 x + 50

24 x + 60 = 25 x + 50

Move the expression to the left side

24 x + 60 - (25 x + 50) = 0

Calculate the sum or difference

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Add the terms

24 x + 60 - (25 x + 50)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

24 x + 60 - 25 x - 50

Subtract the terms

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Evaluate

24 x - 25 x

Collect like terms by calculating the sum or difference of their coefficients

(24 - 25) x

Subtract the numbers

- x

- x + 60 - 50

Subtract the numbers

- x + 10

- x + 10 = 0

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

- x = 0 - 10

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

- x = - 10

Change the signs on both sides of the equation

x = 10

Check if the solution is in the defined range

x = 10, x \neq = - 2

Solution

x = 10

Show Solution

Solve the equation

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