解答 - 绝对值方程

$$\left(b+\frac{-4}{5}\right)-3b=\left(3b+8\right)-3b$$

收集同类项:

$$\left(b-3b\right)+\frac{-4}{5}=\left(3b+8\right)-3b$$

简化运算:

$$-2b+\frac{-4}{5}=\left(3b+8\right)-3b$$

收集同类项:

$$-2b+\frac{-4}{5}=\left(3b-3b\right)+8$$

简化运算:

$$-2b+\frac{-4}{5}=8$$

将 $$$$ 加到等式的两边:

$$\left(-2b+\frac{-4}{5}\right)+\frac{4}{5}=8+\frac{4}{5}$$

组合分数:

$$-2b+\frac{\left(-4+4\right)}{5}=8+\frac{4}{5}$$

合并分子:

$$-2b+\frac{0}{5}=8+\frac{4}{5}$$

分子为零则整体为零:

$$-2b+0=8+\frac{4}{5}$$

简化运算:

$$-2b=8+\frac{4}{5}$$

将整数转换为分数:

$$-2b=\frac{40}{5}+\frac{4}{5}$$

组合分数:

$$-2b=\frac{\left(40+4\right)}{5}$$

合并分子:

$$-2b=\frac{44}{5}$$

两边都除以 :

$$\frac{\left(-2b\right)}{-2}=\frac{\left(\frac{44}{5}\right)}{-2}$$

消除负号:

$$\frac{2b}{2}=\frac{\left(\frac{44}{5}\right)}{-2}$$

简化分数:

$$b=\frac{\left(\frac{44}{5}\right)}{-2}$$

简化运算:

$$b=\frac{44}{\left(5·-2\right)}$$

$$b=\frac{-22}{5}$$

$$\left(b+\frac{-4}{5}\right)=-3b-8$$

将 $$$$ 加到等式的两边:

$$\left(b+\frac{-4}{5}\right)+3b=\left(-3b-8\right)+3b$$

收集同类项:

$$\left(b+3b\right)+\frac{-4}{5}=\left(-3b-8\right)+3b$$

简化运算:

$$4b+\frac{-4}{5}=\left(-3b-8\right)+3b$$

收集同类项:

$$4b+\frac{-4}{5}=\left(-3b+3b\right)-8$$

简化运算:

$$4b+\frac{-4}{5}=-8$$

将 $$$$ 加到等式的两边:

$$\left(4b+\frac{-4}{5}\right)+\frac{4}{5}=-8+\frac{4}{5}$$

组合分数:

$$4b+\frac{\left(-4+4\right)}{5}=-8+\frac{4}{5}$$

合并分子:

$$4b+\frac{0}{5}=-8+\frac{4}{5}$$

分子为零则整体为零:

$$4b+0=-8+\frac{4}{5}$$

简化运算:

$$4b=-8+\frac{4}{5}$$

将整数转换为分数:

$$4b=\frac{-40}{5}+\frac{4}{5}$$

组合分数:

$$4b=\frac{\left(-40+4\right)}{5}$$

合并分子:

$$4b=\frac{-36}{5}$$

两边都除以 :

$$\frac{\left(4b\right)}{4}=\frac{\left(\frac{-36}{5}\right)}{4}$$

简化分数:

$$b=\frac{\left(\frac{-36}{5}\right)}{4}$$

简化运算:

$$b=\frac{-36}{\left(5·4\right)}$$

$$b=\frac{-9}{5}$$