Solve (225x/10-(180+5)-3700/180+5)=3500

$$(225 \frac{ x }{ 10 } -(180+5)- \frac{ 3700 }{ 180+5 } ) = 3500$$

Solve for x

$$x = \frac{494}{3} = 164\frac{2}{3} \approx 164.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10.

$$10\left(225\times \frac{x}{10}-\left(180+5\right)\right)-\frac{2}{37}\times 3700=35000$$

Express 225\times \frac{x}{10} as a single fraction.

$$10\left(\frac{225x}{10}-\left(180+5\right)\right)-\frac{2}{37}\times 3700=35000$$

Add 180 and 5 to get 185.

$$10\left(\frac{225x}{10}-185\right)-\frac{2}{37}\times 3700=35000$$

Use the distributive property to multiply 10 by \frac{225x}{10}-185.

$$10\times \frac{225x}{10}-1850-\frac{2}{37}\times 3700=35000$$

Divide 225x by 10 to get \frac{45}{2}x.

$$10\times \frac{45}{2}x-1850-\frac{2}{37}\times 3700=35000$$

Express 10\times \frac{45}{2} as a single fraction.

$$\frac{10\times 45}{2}x-1850-\frac{2}{37}\times 3700=35000$$

Multiply 10 and 45 to get 450.

$$\frac{450}{2}x-1850-\frac{2}{37}\times 3700=35000$$

Divide 450 by 2 to get 225.

$$225x-1850-\frac{2}{37}\times 3700=35000$$

Express -\frac{2}{37}\times 3700 as a single fraction.

$$225x-1850+\frac{-2\times 3700}{37}=35000$$

Multiply -2 and 3700 to get -7400.

$$225x-1850+\frac{-7400}{37}=35000$$

Divide -7400 by 37 to get -200.

$$225x-1850-200=35000$$

Subtract 200 from -1850 to get -2050.

$$225x-2050=35000$$

Add 2050 to both sides.

$$225x=35000+2050$$

Add 35000 and 2050 to get 37050.

$$225x=37050$$

Divide both sides by 225.

$$x=\frac{37050}{225}$$

Reduce the fraction \frac{37050}{225} to lowest terms by extracting and canceling out 75.

$$x=\frac{494}{3}$$