Solve 1000*(x-10)+2000*(x-12)/34000=02

$$\frac { 1000 \times ( x - 10 ) + 2000 \times ( x - 12 ) } { 34000 } = 02$$

Solve for x

$$x = \frac{34}{3} = 11\frac{1}{3} \approx 11.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 34000.

$$1000\left(x-10\right)+2000\left(x-12\right)=0\times 2$$

Use the distributive property to multiply 1000 by x-10.

$$1000x-10000+2000\left(x-12\right)=0\times 2$$

Use the distributive property to multiply 2000 by x-12.

$$1000x-10000+2000x-24000=0\times 2$$

Combine 1000x and 2000x to get 3000x.

$$3000x-10000-24000=0\times 2$$

Subtract 24000 from -10000 to get -34000.

$$3000x-34000=0\times 2$$

Multiply 0 and 2 to get 0.

$$3000x-34000=0$$

Add 34000 to both sides. Anything plus zero gives itself.

$$3000x=34000$$

Divide both sides by 3000.

$$x=\frac{34000}{3000}$$

Reduce the fraction \frac{34000}{3000} to lowest terms by extracting and canceling out 1000.

$$x=\frac{34}{3}$$