解答 - 绝对值方程

$$\left(3t-2\right)=2t+2·2$$

简化运算:

$$\left(3t-2\right)=2t+4$$

从两边减去 $$$$:

$$\left(3t-2\right)-2t=\left(2t+4\right)-2t$$

收集同类项:

$$\left(3t-2t\right)-2=\left(2t+4\right)-2t$$

简化运算:

$$t-2=\left(2t+4\right)-2t$$

收集同类项:

$$t-2=\left(2t-2t\right)+4$$

简化运算:

$$t-2=4$$

将 $$$$ 加到等式的两边:

$$\left(t-2\right)+2=4+2$$

简化运算:

$$t=4+2$$

简化运算:

$$t=6$$

$$\left(3t-2\right)=2·\left(-t-2\right)$$

$$\left(3t-2\right)=2·-t+2·-2$$

收集同类项:

$$\left(3t-2\right)=\left(2·-1\right)t+2·-2$$

系数之间相乘:

$$\left(3t-2\right)=-2t+2·-2$$

简化运算:

$$\left(3t-2\right)=-2t-4$$

将 $$$$ 加到等式的两边:

$$\left(3t-2\right)+2t=\left(-2t-4\right)+2t$$

收集同类项:

$$\left(3t+2t\right)-2=\left(-2t-4\right)+2t$$

简化运算:

$$5t-2=\left(-2t-4\right)+2t$$

收集同类项:

$$5t-2=\left(-2t+2t\right)-4$$

简化运算:

$$5t-2=-4$$

将 $$$$ 加到等式的两边:

$$\left(5t-2\right)+2=-4+2$$

简化运算:

$$5t=-4+2$$

简化运算:

$$5t=-2$$

两边都除以 :

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

简化分数:

$$t=\frac{-2}{5}$$