Solve 0.09-0.01(x+2)=-0.02(4-x)

$$0.09-0.01(x+2)=-0.02(4-x)$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -0.01 by x+2.

$$0.09-0.01x-0.02=-0.02\left(4-x\right)$$

Subtract 0.02 from 0.09 to get 0.07.

$$0.07-0.01x=-0.02\left(4-x\right)$$

Use the distributive property to multiply -0.02 by 4-x.

$$0.07-0.01x=-0.08+0.02x$$

Subtract 0.02x from both sides.

$$0.07-0.01x-0.02x=-0.08$$

Combine -0.01x and -0.02x to get -0.03x.

$$0.07-0.03x=-0.08$$

Subtract 0.07 from both sides.

$$-0.03x=-0.08-0.07$$

Subtract 0.07 from -0.08 to get -0.15.

$$-0.03x=-0.15$$

Divide both sides by -0.03.

$$x=\frac{-0.15}{-0.03}$$

Expand \frac{-0.15}{-0.03} by multiplying both numerator and the denominator by 100.

$$x=\frac{-15}{-3}$$

Divide -15 by -3 to get 5.

$$x=5$$