Question

Solve the equation 2x(2-6)=4(3+1x-2)​

Answer 1

`x = - (1)/(3)`

Explanation:

1) Simplify 2 - 6 to -4.

`2x * - 4 = 4(3 + 1 * x - 2)`

2) Simplify 1 × x to x.

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

3) Simplify 3 + x - 2 to x + 1.

`2x * - 4 = 4(x + 1)`

4) Simplify 2x × -4 to -8x.

`- 8x = 4(x + 1)`

5) Divide both sides by 4.

`- 2x = x + 1`

6) Subtract x from both sides.

`- 2x - x = 1`

7) Simplify -2x - x to -3x.

`- 3x = 1`

8) Divide both sides by -3.

`x = - (1)/(3)`

Therefor, the answer is x = -1/3.

Answer 2

no solution

Explanation:

if you distribute and simplify:

4x-12 = 12+4x-8

4x-12 = 4x+4

-12 ≠ 4