Solve 46x/0.01-6.5=0.02-2x/0.02-7.5

$$\frac{ 46x }{ 0.01 } -6.5= \frac{ 0.02-2x }{ 0.02 } -7.5$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Divide 46x by 0.01 to get 4600x.

$$4600x-6.5=\frac{0.02-2x}{0.02}-7.5$$

Divide each term of 0.02-2x by 0.02 to get \frac{0.02}{0.02}+\frac{-2x}{0.02}.

$$4600x-6.5=\frac{0.02}{0.02}+\frac{-2x}{0.02}-7.5$$

Divide 0.02 by 0.02 to get 1.

$$4600x-6.5=1+\frac{-2x}{0.02}-7.5$$

Divide -2x by 0.02 to get -100x.

$$4600x-6.5=1-100x-7.5$$

Subtract 7.5 from 1 to get -6.5.

$$4600x-6.5=-6.5-100x$$

Add 100x to both sides.

$$4600x-6.5+100x=-6.5$$

Combine 4600x and 100x to get 4700x.

$$4700x-6.5=-6.5$$

Add 6.5 to both sides.

$$4700x=-6.5+6.5$$

Add -6.5 and 6.5 to get 0.

$$4700x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 4700 is not equal to 0, x must be equal to 0.

$$x=0$$