Solve 4-6x/0.01-6.5=0.02-2x/0.02-7.5

$$\frac { 4 - 6 x } { 0.01 } - 6.5 = \frac { 0.02 - 2 x } { 0.02 } - 7.5$$

Solve for x

$$x=0.8$$

Steps for Solving Linear Equation

Divide each term of 4-6x by 0.01 to get \frac{4}{0.01}+\frac{-6x}{0.01}.

$$\frac{4}{0.01}+\frac{-6x}{0.01}-6.5=\frac{0.02-2x}{0.02}-7.5$$

Expand \frac{4}{0.01} by multiplying both numerator and the denominator by 100. Anything divided by one gives itself.

$$400+\frac{-6x}{0.01}-6.5=\frac{0.02-2x}{0.02}-7.5$$

Divide -6x by 0.01 to get -600x.

$$400-600x-6.5=\frac{0.02-2x}{0.02}-7.5$$

Subtract 6.5 from 400 to get 393.5.

$$393.5-600x=\frac{0.02-2x}{0.02}-7.5$$

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

$$393.5-600x=\frac{0.02}{0.02}+\frac{-2x}{0.02}-7.5$$

Divide 0.02 by 0.02 to get 1.

$$393.5-600x=1+\frac{-2x}{0.02}-7.5$$

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

$$393.5-600x=1-100x-7.5$$

Subtract 7.5 from 1 to get -6.5.

$$393.5-600x=-6.5-100x$$

Add 100x to both sides.

$$393.5-600x+100x=-6.5$$

Combine -600x and 100x to get -500x.

$$393.5-500x=-6.5$$

Subtract 393.5 from both sides.

$$-500x=-6.5-393.5$$

Subtract 393.5 from -6.5 to get -400.

$$-500x=-400$$

Divide both sides by -500.

$$x=\frac{-400}{-500}$$

Reduce the fraction \frac{-400}{-500} to lowest terms by extracting and canceling out -100.

$$x=\frac{4}{5}$$