Solve (5x+420):(3x+420)=6:5

Evaluate

(5 x + 420) \div (3 x + 420) = 6 \div 5

Find the domain

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(5 x + 420) \div (3 x + 420) = 6 \div 5, x \neq = - 140

Rewrite the expression

\frac{5 x + 420}{3 x + 420} = 6 \div 5

Divide the numbers

\frac{5 x + 420}{3 x + 420} = 1.2

Convert the expressions

\frac{5 x + 420}{3 x + 420} = \frac{6}{5}

Cross multiply

(5 x + 420) \times 5 = (3 x + 420) \times 6

Simplify the equation

5 (5 x + 420) = (3 x + 420) \times 6

Simplify the equation

5 (5 x + 420) = 6 (3 x + 420)

Calculate

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25 x + 2100 = 6 (3 x + 420)

Calculate

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25 x + 2100 = 18 x + 2520

Move the expression to the left side

25 x + 2100 - (18 x + 2520) = 0

Calculate the sum or difference

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7 x - 420 = 0

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

7 x = 0 + 420

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

7 x = 420

Divide both sides

\frac{7 x}{7} = \frac{420}{7}

Divide the numbers

x = \frac{420}{7}

Divide the numbers

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x = 60

Check if the solution is in the defined range

x = 60, x \neq = - 140

Solution

x = 60

Solve the equation