解答 - 含一个未知数的线性方程

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

收集同类项:

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

将系数整合在一起:

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

将整数转换为分数:

$$\left(\frac{-2}{3}+\frac{-12}{3}\right)x+\frac{8}{3}=\left(4x\right)-4x$$

组合分数:

$$\frac{\left(-2-12\right)}{3}x+\frac{8}{3}=\left(4x\right)-4x$$

合并分子:

$$\frac{-14}{3}x+\frac{8}{3}=\left(4x\right)-4x$$

简化运算:

$$\frac{-14}{3}x+\frac{8}{3}=0$$

$$\left(\frac{-14}{3}x+\frac{8}{3}\right)-\frac{8}{3}=0-\frac{8}{3}$$

组合分数:

$$\frac{-14}{3}x+\frac{\left(8-8\right)}{3}=0-\frac{8}{3}$$

合并分子:

$$\frac{-14}{3}x+\frac{0}{3}=0-\frac{8}{3}$$

分子为零则整体为零:

$$\frac{-14}{3}x+0=0-\frac{8}{3}$$

简化运算:

$$\frac{-14}{3}x=0-\frac{8}{3}$$

简化运算:

$$\frac{-14}{3}x=\frac{-8}{3}$$

$$\left(\frac{-14}{3}x\right)·\frac{3}{-14}=\left(\frac{-8}{3}\right)·\frac{3}{-14}$$

将负号从分母移至分子:

$$\frac{-14}{3}x·\frac{-3}{14}=\left(\frac{-8}{3}\right)·\frac{3}{-14}$$

收集同类项:

$$\left(\frac{-14}{3}·\frac{-3}{14}\right)x=\left(\frac{-8}{3}\right)·\frac{3}{-14}$$

系数之间相乘:

$$\frac{\left(-14·-3\right)}{\left(3·14\right)}x=\left(\frac{-8}{3}\right)·\frac{3}{-14}$$

简化运算:

$$1x=\left(\frac{-8}{3}\right)·\frac{3}{-14}$$

$$x=\left(\frac{-8}{3}\right)·\frac{3}{-14}$$

将负号从分母移至分子:

$$x=\frac{-8}{3}·\frac{-3}{14}$$

乘法分数:

$$x=\frac{\left(-8·-3\right)}{\left(3·14\right)}$$

简化运算:

$$x=\frac{4}{7}$$