Solve x+x+0.6=x+x0.1

$$x+x+0.6=x+x0.1$$

Solve for x

$$x=\frac{x_{0}}{10}-0.6$$

Solution Steps

Combine x and x to get 2x.

$$2x+0.6=x+x_{0}\times 0.1$$

Subtract x from both sides.

$$2x+0.6-x=x_{0}\times 0.1$$

Combine 2x and -x to get x.

$$x+0.6=x_{0}\times 0.1$$

Subtract 0.6 from both sides.

$$x=x_{0}\times 0.1-0.6$$

Solve for x_0

$$x_{0}=10x+6$$

Steps for Solving Linear Equation

Combine x and x to get 2x.

$$2x+0.6=x+x_{0}\times 0.1$$

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

$$x+x_{0}\times 0.1=2x+0.6$$

Subtract x from both sides.

$$x_{0}\times 0.1=2x+0.6-x$$

Combine 2x and -x to get x.

$$x_{0}\times 0.1=x+0.6$$

The equation is in standard form.

$$0.1x_{0}=x+0.6$$

Multiply both sides by 10.

$$\frac{0.1x_{0}}{0.1}=\frac{x+0.6}{0.1}$$

Dividing by 0.1 undoes the multiplication by 0.1.

$$x_{0}=\frac{x+0.6}{0.1}$$

Divide x+0.6 by 0.1 by multiplying x+0.6 by the reciprocal of 0.1.

$$x_{0}=10x+6$$