Solve 0.02x/0.03+1=--0.18x+0.18/18

$$\frac { 0.02 x } { 0.03 } + 1 = - \frac { - 0.18 x + 0.18 } { 18 }$$

Solve for x

$$x = -\frac{303}{197} = -1\frac{106}{197} \approx -1.538071066$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18.

$$18\times \frac{0.02x}{0.03}+18=-\left(-0.18x+0.18\right)$$

Divide 0.02x by 0.03 to get \frac{2}{3}x.

$$18\times \frac{2}{3}x+18=-\left(-0.18x+0.18\right)$$

Multiply 18 and \frac{2}{3} to get 12.

$$12x+18=-\left(-0.18x+0.18\right)$$

To find the opposite of -0.18x+0.18, find the opposite of each term.

$$12x+18=-\left(-0.18x\right)-0.18$$

The opposite of -0.18x is 0.18x.

$$12x+18=0.18x-0.18$$

Subtract 0.18x from both sides.

$$12x+18-0.18x=-0.18$$

Combine 12x and -0.18x to get 11.82x.

$$11.82x+18=-0.18$$

Subtract 18 from both sides.

$$11.82x=-0.18-18$$

Subtract 18 from -0.18 to get -18.18.

$$11.82x=-18.18$$

Divide both sides by 11.82.

$$x=\frac{-18.18}{11.82}$$

Expand \frac{-18.18}{11.82} by multiplying both numerator and the denominator by 100.

$$x=\frac{-1818}{1182}$$

Reduce the fraction \frac{-1818}{1182} to lowest terms by extracting and canceling out 6.

$$x=-\frac{303}{197}$$