Question

Solve for x in the following equation:

42x-5=23x+7
O x=-17
O x=-12
O x = 12
Ox=17

Answer 1

x = 17

Explanation:

1) Make the bases the same then rewrite.

4 = 2²

2^2(2x - 5) = 2^3x + 7

2) Since the bases are the same, set the exponents equal to each other.

2(2x -5) = 3x + 7

4x - 10 = 3x + 7

4x - 3x = 7 + 10

x = 17