Question

Solve 3(x - 4) = 11x

Answer 1

`x = (-3)/(2)`

Explanation:

3(x - 4) = 11x

Expand the brackets:

3x - 12 = 11x

Subtract 3x from both sides to isolate the -12:

3x - 12 = 11x

3x - 3x - 12 = 11x - 3x

-12 = 8x

8x = -12

Divide both sides by 8:

`\\(8x)/(8) = (-12)/(8)\\x = (-12)/(8)\\`

Simplify fraction:

`x = (-12)/(8)`

`x = (-12 / 4)/(8 / 4)\\x = (-3)/(2)`

Hope this helps!