Solve 0.24(24)+0.04x=0.08(24+x)

$$0.24 ( 24 ) + 0.04 x = 0.08 ( 24 + x )$$

Solve for x

$$x=96$$

Steps for Solving Linear Equation

Multiply 0.24 and 24 to get 5.76.

$$5.76+0.04x=0.08\left(24+x\right)$$

Use the distributive property to multiply 0.08 by 24+x.

$$5.76+0.04x=1.92+0.08x$$

Subtract 0.08x from both sides.

$$5.76+0.04x-0.08x=1.92$$

Combine 0.04x and -0.08x to get -0.04x.

$$5.76-0.04x=1.92$$

Subtract 5.76 from both sides.

$$-0.04x=1.92-5.76$$

Subtract 5.76 from 1.92 to get -3.84.

$$-0.04x=-3.84$$

Divide both sides by -0.04.

$$x=\frac{-3.84}{-0.04}$$

Expand \frac{-3.84}{-0.04} by multiplying both numerator and the denominator by 100.

$$x=\frac{-384}{-4}$$

Divide -384 by -4 to get 96.

$$x=96$$