解答 - 绝对值方程

$$\left(-x+3.1\right)+2.1x=\left(-2.1x+2\right)+2.1x$$

收集同类项:

$$\left(-x+2.1x\right)+3.1=\left(-2.1x+2\right)+2.1x$$

简化运算:

$$1.1x+3.1=\left(-2.1x+2\right)+2.1x$$

收集同类项:

$$1.1x+3.1=\left(-2.1x+2.1x\right)+2$$

简化运算:

$$1.1x+3.1=2$$

从两边减去 $$$$:

$$\left(1.1x+3.1\right)-3.1=2-3.1$$

简化运算:

$$1.1x=2-3.1$$

简化运算:

$$1.1x=-1.1$$

两边都除以 :

$$\frac{\left(1.1x\right)}{1.1}=\frac{-1.1}{1.1}$$

简化运算:

$$x=\frac{-1.1}{1.1}$$

简化运算:

$$x=-1$$

$$\left(-x+3.1\right)=2.1x-2$$

从两边减去 $$$$:

$$\left(-x+3.1\right)-2.1x=\left(2.1x-2\right)-2.1x$$

收集同类项:

$$\left(-x-2.1x\right)+3.1=\left(2.1x-2\right)-2.1x$$

简化运算:

$$-3.1x+3.1=\left(2.1x-2\right)-2.1x$$

收集同类项:

$$-3.1x+3.1=\left(2.1x-2.1x\right)-2$$

简化运算:

$$-3.1x+3.1=-2$$

从两边减去 $$$$:

$$\left(-3.1x+3.1\right)-3.1=-2-3.1$$

简化运算:

$$-3.1x=-2-3.1$$

简化运算:

$$-3.1x=-5.1$$

两边都除以 :

$$\frac{\left(-3.1x\right)}{-3.1}=\frac{-5.1}{-3.1}$$

消除负号:

$$\frac{3.1x}{3.1}=\frac{-5.1}{-3.1}$$

简化运算:

$$x=\frac{-5.1}{-3.1}$$

消除负号:

$$x=\frac{5.1}{3.1}$$

简化运算:

$$x=1.6452$$