Question

Solve the equation: 3x - x + 2 = 4(2x - 1) infinite solutions x = 1 x = -1 no solution

Answer 1

Answer:

$x=1$

B

Step-by-step explanation:

So we have the equation:

$3x-x+2=4(2x-1)$

Combine like terms on the left:

$3x-x+2=4(2x-1)\\2x+2=4(2x-1)$

Distribute out the right:

$2x+2=4(2x-1)\\2x+2=8x-4$

Subtract 2x from both sides. The left side cancels:

$(2x+2)-2x=(8x-4)-2x\\2=6x-4$

Add 4 to both sides. The right side cancels:

$2+4=(6x-4)+4\\6=6x$

Divide each side by 6:

$(6)/6=(6x)/6\\x=1$

Therefore, the solution is: x=1.

Answer 2

X = 1

Porque:

3x - x + 2 = 4(2x - 1)

3x - x + 2 = 8x - 4

3x - x - 8x = - 4 - 2

- 6x = - 6

x = - 6/ -6

x = 1 ✔️