Question

How do I solve for x

`- 4x - 6 + 2x = - 14x`

Answer 1

`\bf x=\cfrac{1}{2}`

`\bf x=0.5`

Explanation:

`\bf -4x - 6 + 2x = -14x`

Combine like terms:-

`\bf -2x-6=-14x`

Add 6 to both sides:-

`\bf -2x-6+6=-14x+6`

Simplify:-

`\bf -2x=-14x+6`

Add -14x to both sides:-

`\bf -2x+14x=-14x+6+14x`

Simplify:-

`\bf 12x=6`

Divide both sides by 12:-

`\bf \cfrac{12x}{12}=\cfrac{6}{12}`

Simplify:-

`\bf x=\cfrac{1}{2}`

_______________________

Answer 2

-4x - 6 + 2x = -14x

Combine like terms on the left side of the equation.

-2x - 6 = -14x

Add 2x to both sides.

-6 = -12x

Divide both sides by -12.

x = 1/2