Question

Can anyone help me quickly

Answer 1

x = 1/14

Explanation:

We are given the equation:

`\displaystyle \large{ (2x - 1)/(3) = - 4x}`

Multiply the whole equation by 3 to get rid of the denominator.

`\displaystyle \large{ (2x - 1)/(3)(3) = - 4x(3)} \\ \displaystyle \large{ 2x - 1 = - 12x}`

Add both sides by 12x.

`\displaystyle \large{ 2x - 1 + 12x = - 12x + 12x} \\ \displaystyle \large{ 2x - 1 + 12x = 0}`

Combine like terms.

`\displaystyle \large{ 14x - 1 = 0}`

Add both sides by 1.

`\displaystyle \large{ 14x - 1 + 1= 0 + 1} \\ \displaystyle \large{ 14x = 1}`

Divide both sides by 14 to isolate x.

`\displaystyle \large{ (14x)/(14) = (1)/(14) } \\ \displaystyle \large{ x= (1)/(14) }`

And we're done!