Solve 1000*(x-10)+2000*(x-12)/34000=0.2

$$\frac { 1000 \times ( x - 10 ) + 2000 \times ( x - 12 ) } { 34000 } = 0.2$$

Solve for x

$$x=13.6$$

Steps for Solving Linear Equation

Multiply both sides by 34000.

$$1000\left(x-10\right)+2000\left(x-12\right)=0.2\times 34000$$

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

$$1000x-10000+2000\left(x-12\right)=0.2\times 34000$$

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

$$1000x-10000+2000x-24000=0.2\times 34000$$

Combine 1000x and 2000x to get 3000x.

$$3000x-10000-24000=0.2\times 34000$$

Subtract 24000 from -10000 to get -34000.

$$3000x-34000=0.2\times 34000$$

Multiply 0.2 and 34000 to get 6800.

$$3000x-34000=6800$$

Add 34000 to both sides.

$$3000x=6800+34000$$

Add 6800 and 34000 to get 40800.

$$3000x=40800$$

Divide both sides by 3000.

$$x=\frac{40800}{3000}$$

Reduce the fraction \frac{40800}{3000} to lowest terms by extracting and canceling out 600.

$$x=\frac{68}{5}$$