Question

4x + 2 (x - 5 ) = 3 (2x - 4 ) how many solutions does it have

Answer 1

Hello!

Answer:

`\Large \boxed{\sf No ~solution }`

Explanation:

We want to solve this equation:

`\sf 4x + 2 (x - 5 ) = 3 (2x - 4 )`

This is a first degree equation. We will isolate x.

▪ First, simplify both sides:

`\sf 4x + 2x - 10 = 6x - 12`

`\sf 6x - 10 = 6x - 12`

▪ Add 12 to both sides:

`\sf 6x - 10 +12= 6x - 12+12`

Simplify:

`\sf 6x +2= 6x`

Finally, subtract 6x from both sides:

`\sf 6x +2-6x= 6x-6x`

Simplify:

`\sf 2= 0`

The equation is a contradiction: it has no solution.

Conclusion:

The equation 4x + 2(x - 5) = 3(2x - 4) hasn't solution.

So this equation has 0 solution.