If 23x + 101x = 130x, find the value of x

If 23_x + 101_x = 130_x, find the value of x

A 7
B 6
C 5
D 4

waec 2016 mathematics

The correct answer is D. 4

23_x + 101_x = 130_x

2 x X¹ + 3 x X^o + 1 x X² + 0 x X¹ + 1 x X^o

= 1 x X^o = 1 x X² + 3 x X¹ + 0 x X^o

= X² + 3x + 0

2x + 3 = x² + 0 + 1 + x² + 3x

2x - 3x + x² - x² = -3 - 1

- x = -4

x = 4

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