Řešení - Absolute value equations

$$\left(3x\right)-5x=\left(5x\right)-5x$$

Zjednodušte aritmetiku:

$$-2x=\left(5x\right)-5x$$

Zjednodušte aritmetiku:

$$-2x=0$$

Divide both sides by the coefficient:

$$x=0$$

$$\frac{\left(3x\right)}{3}=\frac{\left(-5x\right)}{3}$$

Zjednodušte zlomek:

$$x=\frac{\left(-5x\right)}{3}$$

Add $$$$ to both sides:

$$x+\frac{5}{3}·x=\left(\frac{\left(-5x\right)}{3}\right)+\frac{5}{3}x$$

Seskupte koeficienty:

$$\left(1+\frac{5}{3}\right)x=\left(\frac{\left(-5x\right)}{3}\right)+\frac{5}{3}x$$

Převeďte celé číslo na zlomek:

$$\left(\frac{3}{3}+\frac{5}{3}\right)x=\left(\frac{\left(-5x\right)}{3}\right)+\frac{5}{3}x$$

Spojte zlomky:

$$\frac{\left(3+5\right)}{3}·x=\left(\frac{\left(-5x\right)}{3}\right)+\frac{5}{3}x$$

Spojte čitatele:

$$\frac{8}{3}·x=\left(\frac{\left(-5x\right)}{3}\right)+\frac{5}{3}x$$

Spojte zlomky:

$$\frac{8}{3}·x=\frac{\left(-5+5\right)}{3}x$$

Spojte čitatele:

$$\frac{8}{3}·x=\frac{0}{3}x$$

Zjednodušte nulového čitatele:

$$\frac{8}{3}x=0x$$

Zjednodušte aritmetiku:

$$\frac{8}{3}x=0$$

Divide both sides by the coefficient:

$$x=0$$