Solve 0*3*200x+200-100/10=0*2*300*20+300-x/15

$$\frac{ 0 \cdot 3 \cdot 200x+200-100 }{ 10 } = \frac{ 0 \cdot 2 \cdot 300 \cdot 20+300-x }{ 15 }$$

Solve for x

$$x=150$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 10,15.

$$3\left(0\times 3\times 200x+200-100\right)=2\left(0\times 2\times 300\times 20+300-x\right)$$

Multiply 0 and 3 to get 0.

$$3\left(0\times 200x+200-100\right)=2\left(0\times 2\times 300\times 20+300-x\right)$$

Multiply 0 and 200 to get 0.

$$3\left(0x+200-100\right)=2\left(0\times 2\times 300\times 20+300-x\right)$$

Anything times zero gives zero.

$$3\left(0+200-100\right)=2\left(0\times 2\times 300\times 20+300-x\right)$$

Add 0 and 200 to get 200.

$$3\left(200-100\right)=2\left(0\times 2\times 300\times 20+300-x\right)$$

Subtract 100 from 200 to get 100.

$$3\times 100=2\left(0\times 2\times 300\times 20+300-x\right)$$

Multiply 3 and 100 to get 300.

$$300=2\left(0\times 2\times 300\times 20+300-x\right)$$

Multiply 0 and 2 to get 0.

$$300=2\left(0\times 300\times 20+300-x\right)$$

Multiply 0 and 300 to get 0.

$$300=2\left(0\times 20+300-x\right)$$

Multiply 0 and 20 to get 0.

$$300=2\left(0+300-x\right)$$

Add 0 and 300 to get 300.

$$300=2\left(300-x\right)$$

Use the distributive property to multiply 2 by 300-x.

$$300=600-2x$$

Swap sides so that all variable terms are on the left hand side.

$$600-2x=300$$

Subtract 600 from both sides.

$$-2x=300-600$$

Subtract 600 from 300 to get -300.

$$-2x=-300$$

Divide both sides by -2.

$$x=\frac{-300}{-2}$$

Divide -300 by -2 to get 150.

$$x=150$$