Question

How many soultions does 5(x-3)+6=5x-9

Answer 1

5(x - 3) + 6 = 5x - 9 has no solution

Solution:

We have to find the number of solutions for the given equation

Given equation is:

5(x - 3) + 6 = 5x - 9

Multiply the terms inside with bracket with constant outside the bracket

5x - 15 + 6 = 5x - 9

Add the constants in left hand side of equation

5x - 9 = 5x - 9

If the coefficients are the same on both sides, then the sides will not equal, therefore no solutions will occur.

Here, 5x - 9 = 5x - 9

The coefficients are same in both sides of equation

Therefore, the equation has no solution