Solve 1440*(1+x/100)+160*(1-x/250)*25=4960+17.6x

$$1440 \times (1+ \frac{ x }{ 100 } )+160 \times (1- \frac{ x }{ 250 } ) \times 25=4960+17.6x$$

Solve for x

$$x=25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 500, the least common multiple of 100,250.

$$720000\left(1+\frac{x}{100}\right)+80000\left(1-\frac{x}{250}\right)\times 25=2480000+8800x$$

Use the distributive property to multiply 720000 by 1+\frac{x}{100}.

$$720000+720000\times \frac{x}{100}+80000\left(1-\frac{x}{250}\right)\times 25=2480000+8800x$$

Cancel out 100, the greatest common factor in 720000 and 100.

$$720000+7200x+80000\left(1-\frac{x}{250}\right)\times 25=2480000+8800x$$

Multiply 80000 and 25 to get 2000000.

$$720000+7200x+2000000\left(1-\frac{x}{250}\right)=2480000+8800x$$

Use the distributive property to multiply 2000000 by 1-\frac{x}{250}.

$$720000+7200x+2000000+2000000\left(-\frac{x}{250}\right)=2480000+8800x$$

Cancel out 250, the greatest common factor in 2000000 and 250.

$$720000+7200x+2000000-8000x=2480000+8800x$$

Add 720000 and 2000000 to get 2720000.

$$2720000+7200x-8000x=2480000+8800x$$

Combine 7200x and -8000x to get -800x.

$$2720000-800x=2480000+8800x$$

Subtract 8800x from both sides.

$$2720000-800x-8800x=2480000$$

Combine -800x and -8800x to get -9600x.

$$2720000-9600x=2480000$$

Subtract 2720000 from both sides.

$$-9600x=2480000-2720000$$

Subtract 2720000 from 2480000 to get -240000.

$$-9600x=-240000$$

Divide both sides by -9600.

$$x=\frac{-240000}{-9600}$$

Divide -240000 by -9600 to get 25.

$$x=25$$