Solution - Absolute value equations

$$\left(x-3.4\right)=x-2.6$$

Subtract $$$$ from both sides:

$$\left(x-3.4\right)-x=\left(x-2.6\right)-x$$

Group like terms:

$$\left(x-x\right)-3.4=\left(x-2.6\right)-x$$

Simplify the arithmetic:

$$-3.4=\left(x-2.6\right)-x$$

Group like terms:

$$-3.4=\left(x-x\right)-2.6$$

Simplify the arithmetic:

$$-3.4=-2.6$$

The statement is false:

$$-3.4=-2.6$$

$$\left(x-3.4\right)=-x+2.6$$

Add $$$$ to both sides:

$$\left(x-3.4\right)+x=\left(-x+2.6\right)+x$$

Group like terms:

$$\left(x+x\right)-3.4=\left(-x+2.6\right)+x$$

Simplify the arithmetic:

$$2x-3.4=\left(-x+2.6\right)+x$$

Group like terms:

$$2x-3.4=\left(-x+x\right)+2.6$$

Simplify the arithmetic:

$$2x-3.4=2.6$$

Add $$$$ to both sides:

$$\left(2x-3.4\right)+3.4=2.6+3.4$$

Simplify the arithmetic:

$$2x=2.6+3.4$$

Simplify the arithmetic:

$$2x=6$$

Divide both sides by :

$$\frac{\left(2x\right)}{2}=\frac{6}{2}$$

Simplify the fraction:

$$x=\frac{6}{2}$$

Find the greatest common factor of the numerator and denominator:

$$x=\frac{\left(3·2\right)}{\left(1·2\right)}$$

Factor out and cancel the greatest common factor:

$$x=3$$