Solve 3.0*10^-6x=2.0*10^-6x+4.0*10^-6x

$$3.0 \times { 10 }^{ -6 } x=2.0 \times { 10 }^{ -6 } x+4.0 \times { 10 }^{ -6 } x$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$3\times \frac{1}{1000000}x=2\times 10^{-6}x+4\times 10^{-6}x$$

Multiply 3 and \frac{1}{1000000} to get \frac{3}{1000000}.

$$\frac{3}{1000000}x=2\times 10^{-6}x+4\times 10^{-6}x$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{3}{1000000}x=2\times \frac{1}{1000000}x+4\times 10^{-6}x$$

Multiply 2 and \frac{1}{1000000} to get \frac{1}{500000}.

$$\frac{3}{1000000}x=\frac{1}{500000}x+4\times 10^{-6}x$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{3}{1000000}x=\frac{1}{500000}x+4\times \frac{1}{1000000}x$$

Multiply 4 and \frac{1}{1000000} to get \frac{1}{250000}.

$$\frac{3}{1000000}x=\frac{1}{500000}x+\frac{1}{250000}x$$

Combine \frac{1}{500000}x and \frac{1}{250000}x to get \frac{3}{500000}x.

$$\frac{3}{1000000}x=\frac{3}{500000}x$$

Subtract \frac{3}{500000}x from both sides.

$$\frac{3}{1000000}x-\frac{3}{500000}x=0$$

Combine \frac{3}{1000000}x and -\frac{3}{500000}x to get -\frac{3}{1000000}x.

$$-\frac{3}{1000000}x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -\frac{3}{1000000} is not equal to 0, x must be equal to 0.

$$x=0$$