Question

Solve for x: two thirds(x − 2) = 4x.

Answer 1

(2/3)(x-2)=4x
Simplify the left side of the equation.

(2/3)x - (2/3)*2 = 4x
Simplify the second part of the left side.

(2/3)x - (4/3) = 4x
Subtract (2/3)x on each side.

-(4/3) = (10/3)x
Divide by (10/3) on each side.

-0.4 = x

Answer 2

The value of the equation for x is -0.4

Explanation:

Consider the provided equation: two thirds(x − 2) = 4x.

The above equation can be written as:

`(2)/(3)(x-2)=4x`

We need to solve the equation for x.

Multiply both the side by 3.

`3* (2)/(3)(x-2)=3* 4x`

`2(x-2)=12x`

Use the distributive property:
`a(b+c)=ab+ac`

`2x-4=12x`

Subtract 2x from both side of the equation.

`2x-4-2x=12x-2x`

`-4=10x`

Divide both the side by 10.

`(-4)/(10)=x`

`x=(-2)/(5)`

Or

`x=-0.4`

Hence, the value of the equation for x is -0.4