Solve 24+x/12+x=0.4

$$\frac { 24 + x } { 12 + x } = 0.4$$

Solve for x

$$x=-32$$

Steps for Solving Linear Equation

Variable x cannot be equal to -12 since division by zero is not defined. Multiply both sides of the equation by x+12.

$$24+x=0.4\left(x+12\right)$$

Use the distributive property to multiply 0.4 by x+12.

$$24+x=0.4x+4.8$$

Subtract 0.4x from both sides.

$$24+x-0.4x=4.8$$

Combine x and -0.4x to get 0.6x.

$$24+0.6x=4.8$$

Subtract 24 from both sides.

$$0.6x=4.8-24$$

Subtract 24 from 4.8 to get -19.2.

$$0.6x=-19.2$$

Divide both sides by 0.6.

$$x=\frac{-19.2}{0.6}$$

Expand \frac{-19.2}{0.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{-192}{6}$$

Divide -192 by 6 to get -32.

$$x=-32$$