Question

Solve for x. X-1/4(12-x)=x+3(4-x)-2x

Answer 1

x = Approximately 4.92. (Tech: 4.923076923076923)

Explanation:

To solve for x in the equation,

x - 1/4(12 - x) = x + 3(4 - x) - 2x

Expand the terms on the right side:

x - 1/4(12 - x) = x + 12 - 3x - 2x

Combine like terms:

x - 1/4(12 - x) = -3x + 12

Isolate x on one side of the equation:

1/4(12 - x) + 3x = 12 + x

Combine like terms:

1/4(12 - x) + 3x = 13

Distribute 3x:

1/4(12 - x) + 3x = 13

3x = 13 - 1/4(12 - x)

Multiply both sides by 4:

12x = 52 - (12 - x)

Combine like terms:

13x = 64

Finally, divide both sides by 13:

x = 4.923076923076923

So the value of x is approximately 4.92.