Solve 0.4x7=0.4-2(x+2)

$$0.4x7=0.4-2(x+2)$$

Solve for x

$$x=\frac{-x_{7}-9}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x+2.

$$0.4x_{7}=0.4-2x-4$$

Subtract 4 from 0.4 to get -3.6.

$$0.4x_{7}=-3.6-2x$$

Swap sides so that all variable terms are on the left hand side.

$$-3.6-2x=0.4x_{7}$$

Add 3.6 to both sides.

$$-2x=0.4x_{7}+3.6$$

The equation is in standard form.

$$-2x=\frac{2x_{7}+18}{5}$$

Divide both sides by -2.

$$\frac{-2x}{-2}=\frac{2x_{7}+18}{-2\times 5}$$

Dividing by -2 undoes the multiplication by -2.

$$x=\frac{2x_{7}+18}{-2\times 5}$$

Divide \frac{2x_{7}+18}{5} by -2.

$$x=\frac{-x_{7}-9}{5}$$

Solve for x_7

$$x_{7}=-5x-9$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x+2.

$$0.4x_{7}=0.4-2x-4$$

Subtract 4 from 0.4 to get -3.6.

$$0.4x_{7}=-3.6-2x$$

The equation is in standard form.

$$0.4x_{7}=-2x-3.6$$

Divide both sides of the equation by 0.4, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.4x_{7}}{0.4}=\frac{-2x-3.6}{0.4}$$

Dividing by 0.4 undoes the multiplication by 0.4.

$$x_{7}=\frac{-2x-3.6}{0.4}$$

Divide -3.6-2x by 0.4 by multiplying -3.6-2x by the reciprocal of 0.4.

$$x_{7}=-5x-9$$