Solve left(2x+10right)50/2=35(10+x)-2000

$$\frac{ \left( 2x+10 \right) 50 }{ 2 } = 35(10+x)-2000$$

Solve for x

$$x = -\frac{380}{3} = -126\frac{2}{3} \approx -126.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$\left(2x+10\right)\times 50=70\left(10+x\right)-4000$$

Use the distributive property to multiply 2x+10 by 50.

$$100x+500=70\left(10+x\right)-4000$$

Use the distributive property to multiply 70 by 10+x.

$$100x+500=700+70x-4000$$

Subtract 4000 from 700 to get -3300.

$$100x+500=-3300+70x$$

Subtract 70x from both sides.

$$100x+500-70x=-3300$$

Combine 100x and -70x to get 30x.

$$30x+500=-3300$$

Subtract 500 from both sides.

$$30x=-3300-500$$

Subtract 500 from -3300 to get -3800.

$$30x=-3800$$

Divide both sides by 30.

$$x=\frac{-3800}{30}$$

Reduce the fraction \frac{-3800}{30} to lowest terms by extracting and canceling out 10.

$$x=-\frac{380}{3}$$