Solve (2x-1)/0.01-2.5=0.220x/0.2-3.5

$$\frac { ( 2 x - 1 ) } { 0.01 } - 2.5 = \frac { 0.220 x } { 0.2 } - 3.5$$

Solve for x

$$x=\frac{110}{221}\approx 0.497737557$$

Steps for Solving Linear Equation

Divide 0.22x by 0.2 to get 1.1x.

$$\frac{2x-1}{0.01}-2.5=1.1x-3.5$$

Divide each term of 2x-1 by 0.01 to get \frac{2x}{0.01}+\frac{-1}{0.01}.

$$\frac{2x}{0.01}+\frac{-1}{0.01}-2.5=1.1x-3.5$$

Divide 2x by 0.01 to get 200x.

$$200x+\frac{-1}{0.01}-2.5=1.1x-3.5$$

Expand \frac{-1}{0.01} by multiplying both numerator and the denominator by 100. Anything divided by one gives itself.

$$200x-100-2.5=1.1x-3.5$$

Subtract 2.5 from -100 to get -102.5.

$$200x-102.5=1.1x-3.5$$

Subtract 1.1x from both sides.

$$200x-102.5-1.1x=-3.5$$

Combine 200x and -1.1x to get 198.9x.

$$198.9x-102.5=-3.5$$

Add 102.5 to both sides.

$$198.9x=-3.5+102.5$$

Add -3.5 and 102.5 to get 99.

$$198.9x=99$$

Divide both sides by 198.9.

$$x=\frac{99}{198.9}$$

Expand \frac{99}{198.9} by multiplying both numerator and the denominator by 10.

$$x=\frac{990}{1989}$$

Reduce the fraction \frac{990}{1989} to lowest terms by extracting and canceling out 9.

$$x=\frac{110}{221}$$