Question

Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided. 6(x - 1) = 4(x - 2)

Answer 1

To solve the equation 6(x - 1) = 4(x - 2), expand both sides, then rearrange and simplify to isolate x, resulting in the solution x = -1.

Step-by-step explanation:

To solve the equation 6(x - 1) = 4(x - 2), we first expand both sides:

6x - 6 = 4x - 8.

Next, we rearrange the terms to isolate the variable x:

6x - 4x = -8 + 6.

This simplifies to:

2x = -2.

Dividing both sides by 2 gives us the solution:

x = -1.

The answer is in its simplest form, so it is already reduced, and being a whole number, it doesn't need to be expressed as a mixed number.

Answer 2

6(x-1)=4(x-2)
6x-6=4x-8
2x-6=-8
2x =-2
X=1