Solve (0.6x+420)div(x+20)=3

$$(0.6x+420) \div (x+20)=3$$

Solve for x

$$x=150$$

Steps for Solving Linear Equation

Variable x cannot be equal to -20 since division by zero is not defined. Multiply both sides of the equation by x+20.

$$0.6x+420=3\left(x+20\right)$$

Use the distributive property to multiply 3 by x+20.

$$0.6x+420=3x+60$$

Subtract 3x from both sides.

$$0.6x+420-3x=60$$

Combine 0.6x and -3x to get -2.4x.

$$-2.4x+420=60$$

Subtract 420 from both sides.

$$-2.4x=60-420$$

Subtract 420 from 60 to get -360.

$$-2.4x=-360$$

Divide both sides by -2.4.

$$x=\frac{-360}{-2.4}$$

Expand \frac{-360}{-2.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-3600}{-24}$$

Divide -3600 by -24 to get 150.

$$x=150$$