Solve 0.02x/0.3+1=0,18x+0.18/0.12-1.5-3x/2

$$\frac { 0.02 x } { 0.3 } + 1 = \frac { 0,18 x + 0.18 } { 0.12 } - \frac { 1.5 - 3 x } { 2 }$$

Solve for x

$$x=\frac{15}{176}\approx 0.085227273$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2\times \frac{0.02x}{0.3}+2=2\times \frac{0.18x+0.18}{0.12}-\left(1.5-3x\right)$$

Divide 0.02x by 0.3 to get \frac{1}{15}x.

$$2\times \frac{1}{15}x+2=2\times \frac{0.18x+0.18}{0.12}-\left(1.5-3x\right)$$

Multiply 2 and \frac{1}{15} to get \frac{2}{15}.

$$\frac{2}{15}x+2=2\times \frac{0.18x+0.18}{0.12}-\left(1.5-3x\right)$$

To find the opposite of 1.5-3x, find the opposite of each term.

$$\frac{2}{15}x+2=2\times \frac{0.18x+0.18}{0.12}-1.5-\left(-3x\right)$$

The opposite of -3x is 3x.

$$\frac{2}{15}x+2=2\times \frac{0.18x+0.18}{0.12}-1.5+3x$$

Divide each term of 0.18x+0.18 by 0.12 to get \frac{0.18x}{0.12}+\frac{0.18}{0.12}.

$$\frac{2}{15}x+2=2\left(\frac{0.18x}{0.12}+\frac{0.18}{0.12}\right)-1.5+3x$$

Divide 0.18x by 0.12 to get 1.5x.

$$\frac{2}{15}x+2=2\left(1.5x+\frac{0.18}{0.12}\right)-1.5+3x$$

Expand \frac{0.18}{0.12} by multiplying both numerator and the denominator by 100.

$$\frac{2}{15}x+2=2\left(1.5x+\frac{18}{12}\right)-1.5+3x$$

Reduce the fraction \frac{18}{12} to lowest terms by extracting and canceling out 6.

$$\frac{2}{15}x+2=2\left(1.5x+\frac{3}{2}\right)-1.5+3x$$

Use the distributive property to multiply 2 by 1.5x+\frac{3}{2}.

$$\frac{2}{15}x+2=3x+2\times \frac{3}{2}-1.5+3x$$

Cancel out 2 and 2.

$$\frac{2}{15}x+2=3x+3-1.5+3x$$

Subtract 1.5 from 3 to get 1.5.

$$\frac{2}{15}x+2=3x+1.5+3x$$

Combine 3x and 3x to get 6x.

$$\frac{2}{15}x+2=6x+1.5$$

Subtract 6x from both sides.

$$\frac{2}{15}x+2-6x=1.5$$

Combine \frac{2}{15}x and -6x to get -\frac{88}{15}x.

$$-\frac{88}{15}x+2=1.5$$

Subtract 2 from both sides.

$$-\frac{88}{15}x=1.5-2$$

Subtract 2 from 1.5 to get -0.5.

$$-\frac{88}{15}x=-0.5$$

Divide both sides by -\frac{88}{15}.

$$x=\frac{-0.5}{-\frac{88}{15}}$$