Question

How many solutions does 4(x-1)=4x+5

Answer 1

4(x - 1) = 4x + 5

Eliminate parentheses on the left:

4x - 4 = 4x + 5

Subtract 4x from each side:

-4 = +5

No value of x can make this a true statement. So no solution exists.

Answer 2

NO SOLUTION

Explanation:

To solve this problem, first you have to isolate it on one side of the equation.

First, expand.

`\displaystyle 4(x-1)=4x-4`

`\displaystyle 4x-4=4x+5`

Next, add 4 from both sides.

`\displaystyle 4x-4+4=4x+5+4`

Solve.

`\displaystyle 4+5=9`

`\displaystyle 4x=4x+9`

Subtract 4x from both sides.

`\displaystyle 4x-4x=4x+9-4x`

Solve.

`\displaystyle 0=9`

Therefore, there are no solution.