首先,我们需要对方程进行化简,把括号内的内容进行计算和化简:
x - (1 - (x1/5 + 100)) × 2/7 = 500
x - (1 - (x/5 + 100)) × 2/7 = 500
x - (1 - x/5 - 100) × 2/7 = 500
x - (1 - x/5 - 100) × 2/7 = 500
x - (1 - x/5 - 100) × 2/7 = 500
x - (1 - x/5 - 100) × 2/7 = 500
接下来,我们需要把含有未知数 x 的项移到等式左边,把常数项移到等式右边:
x - 1 + x/5 + 100 × 2/7 = 500
5x/5 + x/5 + 200/7 - 5/7 = 500/5
6x/5 + 190/7 = 100
最后,我们把方程两边同时乘以分母 35,把分数化成整数:
6x × 7 + 190 × 5 = 100 × 5 × 7
42x + 950 = 3500
42x = 2550
x = 60.71(保留两位小数)
因此,该方程的解为 x = 60.71。