解答 - 绝对值方程

$$\left(-3u+6\right)+2u=\left(-2u+5\right)+2u$$

收集同类项:

$$\left(-3u+2u\right)+6=\left(-2u+5\right)+2u$$

简化运算:

$$-u+6=\left(-2u+5\right)+2u$$

收集同类项:

$$-u+6=\left(-2u+2u\right)+5$$

简化运算:

$$-u+6=5$$

从两边减去 $$$$:

$$\left(-u+6\right)-6=5-6$$

简化运算:

$$-u=5-6$$

简化运算:

$$-u=-1$$

将 $$$$ 乘以两边:

$$-u·-1=-1·-1$$

删除乘以负一项:

$$u=-1·-1$$

简化运算:

$$u=1$$

$$\left(-3u+6\right)=2u-5$$

从两边减去 $$$$:

$$\left(-3u+6\right)-2u=\left(2u-5\right)-2u$$

收集同类项:

$$\left(-3u-2u\right)+6=\left(2u-5\right)-2u$$

简化运算:

$$-5u+6=\left(2u-5\right)-2u$$

收集同类项:

$$-5u+6=\left(2u-2u\right)-5$$

简化运算:

$$-5u+6=-5$$

从两边减去 $$$$:

$$\left(-5u+6\right)-6=-5-6$$

简化运算:

$$-5u=-5-6$$

简化运算:

$$-5u=-11$$

两边都除以 :

$$\frac{\left(-5u\right)}{-5}=\frac{-11}{-5}$$

消除负号:

$$\frac{5u}{5}=\frac{-11}{-5}$$

简化分数:

$$u=\frac{-11}{-5}$$

消除负号:

$$u=\frac{11}{5}$$