解答 - 绝对值方程

$$\left(-3t+6\right)=3t+3·-2$$

简化运算:

$$\left(-3t+6\right)=3t-6$$

从两边减去 $$$$:

$$\left(-3t+6\right)-3t=\left(3t-6\right)-3t$$

收集同类项:

$$\left(-3t-3t\right)+6=\left(3t-6\right)-3t$$

简化运算:

$$-6t+6=\left(3t-6\right)-3t$$

收集同类项:

$$-6t+6=\left(3t-3t\right)-6$$

简化运算:

$$-6t+6=-6$$

从两边减去 $$$$:

$$\left(-6t+6\right)-6=-6-6$$

简化运算:

$$-6t=-6-6$$

简化运算:

$$-6t=-12$$

两边都除以 :

$$\frac{\left(-6t\right)}{-6}=\frac{-12}{-6}$$

消除负号:

$$\frac{6t}{6}=\frac{-12}{-6}$$

简化分数:

$$t=\frac{-12}{-6}$$

消除负号:

$$t=\frac{12}{6}$$

寻找分子与分母的最大公约数:

$$t=\frac{\left(2·6\right)}{\left(1·6\right)}$$

通过最大公约数简化分数:

$$t=2$$

$$\left(-3t+6\right)=3·\left(-t+2\right)$$

$$\left(-3t+6\right)=3·-t+3·2$$

收集同类项:

$$\left(-3t+6\right)=\left(3·-1\right)t+3·2$$

系数之间相乘:

$$\left(-3t+6\right)=-3t+3·2$$

简化运算:

$$\left(-3t+6\right)=-3t+6$$

将 $$$$ 加到等式的两边:

$$\left(-3t+6\right)+3t=\left(-3t+6\right)+3t$$

收集同类项:

$$\left(-3t+3t\right)+6=\left(-3t+6\right)+3t$$

简化运算:

$$6=\left(-3t+6\right)+3t$$

收集同类项:

$$6=\left(-3t+3t\right)+6$$

简化运算:

$$6=6$$