Solve 0.65(x-1)=0.37(x+1)+0.1

$$0.65(x-1)=0.37(x+1)+0.1$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.65 by x-1.

$$0.65x-0.65=0.37\left(x+1\right)+0.1$$

Use the distributive property to multiply 0.37 by x+1.

$$0.65x-0.65=0.37x+0.37+0.1$$

Add 0.37 and 0.1 to get 0.47.

$$0.65x-0.65=0.37x+0.47$$

Subtract 0.37x from both sides.

$$0.65x-0.65-0.37x=0.47$$

Combine 0.65x and -0.37x to get 0.28x.

$$0.28x-0.65=0.47$$

Add 0.65 to both sides.

$$0.28x=0.47+0.65$$

Add 0.47 and 0.65 to get 1.12.

$$0.28x=1.12$$

Divide both sides by 0.28.

$$x=\frac{1.12}{0.28}$$

Expand \frac{1.12}{0.28} by multiplying both numerator and the denominator by 100.

$$x=\frac{112}{28}$$

Divide 112 by 28 to get 4.

$$x=4$$