Solve [225*x/10-(88+5)]-3700/18+5=3500

$$[ 225 \cdot \frac { x } { 10 } - ( 88 + 5 ) ] - \frac { 3700 } { 18 + 5 } = 3500$$

Solve for x

$$x = \frac{172678}{1035} = 166\frac{868}{1035} \approx 166.838647343$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10.

$$10\left(225\times \frac{x}{10}-\left(88+5\right)\right)-\frac{10}{23}\times 3700=35000$$

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

$$10\left(\frac{225x}{10}-\left(88+5\right)\right)-\frac{10}{23}\times 3700=35000$$

Add 88 and 5 to get 93.

$$10\left(\frac{225x}{10}-93\right)-\frac{10}{23}\times 3700=35000$$

Use the distributive property to multiply 10 by \frac{225x}{10}-93.

$$10\times \frac{225x}{10}-930-\frac{10}{23}\times 3700=35000$$

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

$$10\times \frac{45}{2}x-930-\frac{10}{23}\times 3700=35000$$

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

$$\frac{10\times 45}{2}x-930-\frac{10}{23}\times 3700=35000$$

Multiply 10 and 45 to get 450.

$$\frac{450}{2}x-930-\frac{10}{23}\times 3700=35000$$

Divide 450 by 2 to get 225.

$$225x-930-\frac{10}{23}\times 3700=35000$$

Express -\frac{10}{23}\times 3700 as a single fraction.

$$225x-930+\frac{-10\times 3700}{23}=35000$$

Multiply -10 and 3700 to get -37000.

$$225x-930+\frac{-37000}{23}=35000$$

Fraction \frac{-37000}{23} can be rewritten as -\frac{37000}{23} by extracting the negative sign.

$$225x-930-\frac{37000}{23}=35000$$

Convert -930 to fraction -\frac{21390}{23}.

$$225x-\frac{21390}{23}-\frac{37000}{23}=35000$$

Since -\frac{21390}{23} and \frac{37000}{23} have the same denominator, subtract them by subtracting their numerators.

$$225x+\frac{-21390-37000}{23}=35000$$

Subtract 37000 from -21390 to get -58390.

$$225x-\frac{58390}{23}=35000$$

Add \frac{58390}{23} to both sides.

$$225x=35000+\frac{58390}{23}$$

Convert 35000 to fraction \frac{805000}{23}.

$$225x=\frac{805000}{23}+\frac{58390}{23}$$

Since \frac{805000}{23} and \frac{58390}{23} have the same denominator, add them by adding their numerators.

$$225x=\frac{805000+58390}{23}$$

Add 805000 and 58390 to get 863390.

$$225x=\frac{863390}{23}$$

Divide both sides by 225.

$$x=\frac{\frac{863390}{23}}{225}$$

Express \frac{\frac{863390}{23}}{225} as a single fraction.

$$x=\frac{863390}{23\times 225}$$

Multiply 23 and 225 to get 5175.

$$x=\frac{863390}{5175}$$

Reduce the fraction \frac{863390}{5175} to lowest terms by extracting and canceling out 5.

$$x=\frac{172678}{1035}$$