Solve 0.18(18)+0.02x=0.06(24+x)

$$0.18 ( 18 ) + 0.02 x = 0.06 ( 24 + x )$$

Solve for x

$$x=45$$

Steps for Solving Linear Equation

Multiply 0.18 and 18 to get 3.24.

$$3.24+0.02x=0.06\left(24+x\right)$$

Use the distributive property to multiply 0.06 by 24+x.

$$3.24+0.02x=1.44+0.06x$$

Subtract 0.06x from both sides.

$$3.24+0.02x-0.06x=1.44$$

Combine 0.02x and -0.06x to get -0.04x.

$$3.24-0.04x=1.44$$

Subtract 3.24 from both sides.

$$-0.04x=1.44-3.24$$

Subtract 3.24 from 1.44 to get -1.8.

$$-0.04x=-1.8$$

Divide both sides by -0.04.

$$x=\frac{-1.8}{-0.04}$$

Expand \frac{-1.8}{-0.04} by multiplying both numerator and the denominator by 100.

$$x=\frac{-180}{-4}$$

Divide -180 by -4 to get 45.

$$x=45$$