Řešení - Absolute value equations

$$\left(8x\right)-3x=\left(3x\right)-3x$$

Zjednodušte aritmetiku:

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

Zjednodušte aritmetiku:

$$5x=0$$

Divide both sides by the coefficient:

$$x=0$$

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

Zjednodušte zlomek:

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

Add $$$$ to both sides:

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

Seskupte koeficienty:

$$\left(1+\frac{3}{8}\right)x=\left(\frac{\left(-3x\right)}{8}\right)+\frac{3}{8}x$$

Převeďte celé číslo na zlomek:

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

Spojte zlomky:

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

Spojte čitatele:

$$\frac{11}{8}·x=\left(\frac{\left(-3x\right)}{8}\right)+\frac{3}{8}x$$

Spojte zlomky:

$$\frac{11}{8}·x=\frac{\left(-3+3\right)}{8}x$$

Spojte čitatele:

$$\frac{11}{8}·x=\frac{0}{8}x$$

Zjednodušte nulového čitatele:

$$\frac{11}{8}x=0x$$

Zjednodušte aritmetiku:

$$\frac{11}{8}x=0$$

Divide both sides by the coefficient:

$$x=0$$