Solve 0.12=0.06*0.16+left(0.94-xright)0.14+x0.1

$$0.12 = 0.06 \cdot 0.16+ \left( 0.94-x \right) 0.14+x0.1$$

Solve for x

$$x=\frac{5x_{0}}{7}+\frac{53}{350}$$

Steps for Solving Linear Equation

Multiply 0.06 and 0.16 to get 0.0096.

$$0.12=0.0096+\left(0.94-x\right)\times 0.14+x_{0}\times 0.1$$

Use the distributive property to multiply 0.94-x by 0.14.

$$0.12=0.0096+0.1316-0.14x+x_{0}\times 0.1$$

Add 0.0096 and 0.1316 to get 0.1412.

$$0.12=0.1412-0.14x+x_{0}\times 0.1$$

Swap sides so that all variable terms are on the left hand side.

$$0.1412-0.14x+x_{0}\times 0.1=0.12$$

Subtract 0.1412 from both sides.

$$-0.14x+x_{0}\times 0.1=0.12-0.1412$$

Subtract 0.1412 from 0.12 to get -0.0212.

$$-0.14x+x_{0}\times 0.1=-0.0212$$

Subtract x_{0}\times 0.1 from both sides.

$$-0.14x=-0.0212-x_{0}\times 0.1$$

Multiply -1 and 0.1 to get -0.1.

$$-0.14x=-0.0212-0.1x_{0}$$

The equation is in standard form.

$$-0.14x=-\frac{x_{0}}{10}-0.0212$$

Divide both sides of the equation by -0.14, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-0.14x}{-0.14}=\frac{-\frac{x_{0}}{10}-0.0212}{-0.14}$$

Dividing by -0.14 undoes the multiplication by -0.14.

$$x=\frac{-\frac{x_{0}}{10}-0.0212}{-0.14}$$

Divide -0.0212-\frac{x_{0}}{10} by -0.14 by multiplying -0.0212-\frac{x_{0}}{10} by the reciprocal of -0.14.

$$x=\frac{5x_{0}}{7}+\frac{53}{350}$$

Solve for x_0

$$x_{0}=\frac{7x}{5}-0.212$$

Steps for Solving Linear Equation

Multiply 0.06 and 0.16 to get 0.0096.

$$0.12=0.0096+\left(0.94-x\right)\times 0.14+x_{0}\times 0.1$$

Use the distributive property to multiply 0.94-x by 0.14.

$$0.12=0.0096+0.1316-0.14x+x_{0}\times 0.1$$

Add 0.0096 and 0.1316 to get 0.1412.

$$0.12=0.1412-0.14x+x_{0}\times 0.1$$

Swap sides so that all variable terms are on the left hand side.

$$0.1412-0.14x+x_{0}\times 0.1=0.12$$

Subtract 0.1412 from both sides.

$$-0.14x+x_{0}\times 0.1=0.12-0.1412$$

Subtract 0.1412 from 0.12 to get -0.0212.

$$-0.14x+x_{0}\times 0.1=-0.0212$$

Add 0.14x to both sides.

$$x_{0}\times 0.1=-0.0212+0.14x$$

The equation is in standard form.

$$0.1x_{0}=\frac{7x}{50}-0.0212$$

Multiply both sides by 10.

$$\frac{0.1x_{0}}{0.1}=\frac{\frac{7x}{50}-0.0212}{0.1}$$

Dividing by 0.1 undoes the multiplication by 0.1.

$$x_{0}=\frac{\frac{7x}{50}-0.0212}{0.1}$$

Divide -0.0212+\frac{7x}{50} by 0.1 by multiplying -0.0212+\frac{7x}{50} by the reciprocal of 0.1.

$$x_{0}=\frac{7x}{5}-\frac{53}{250}$$