Solve 0.92x+0.98(12-x)=0.96(12)

$$0.92 x + 0.98 ( 12 - x ) = 0.96 ( 12 )$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.98 by 12-x.

$$0.92x+11.76-0.98x=0.96\times 12$$

Combine 0.92x and -0.98x to get -0.06x.

$$-0.06x+11.76=0.96\times 12$$

Multiply 0.96 and 12 to get 11.52.

$$-0.06x+11.76=11.52$$

Subtract 11.76 from both sides.

$$-0.06x=11.52-11.76$$

Subtract 11.76 from 11.52 to get -0.24.

$$-0.06x=-0.24$$

Divide both sides by -0.06.

$$x=\frac{-0.24}{-0.06}$$

Expand \frac{-0.24}{-0.06} by multiplying both numerator and the denominator by 100.

$$x=\frac{-24}{-6}$$

Divide -24 by -6 to get 4.

$$x=4$$