Solve .096*x/100+.144*100-x/100=.24

$$.096 \times \frac{ x }{ 100 } +.144 \times \frac{ 100-x }{ 100 } =.24$$

Solve for x

$$x=-200$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$0.096x+0.144\left(100-x\right)=24$$

Use the distributive property to multiply 0.144 by 100-x.

$$0.096x+14.4-0.144x=24$$

Combine 0.096x and -0.144x to get -0.048x.

$$-0.048x+14.4=24$$

Subtract 14.4 from both sides.

$$-0.048x=24-14.4$$

Subtract 14.4 from 24 to get 9.6.

$$-0.048x=9.6$$

Divide both sides by -0.048.

$$x=\frac{9.6}{-0.048}$$

Expand \frac{9.6}{-0.048} by multiplying both numerator and the denominator by 1000.

$$x=\frac{9600}{-48}$$

Divide 9600 by -48 to get -200.

$$x=-200$$