Question

Solve for x: 2 over 5 (x − 2) = 4x. (1 point) 2 over 9 9 negative 2 over 9 negative 9 over 2

Answer 1

ANSWER

$x = - \frac{2}{9}$

EXPLANATION

The given equation is :

$\frac{2}{5}(x - 2) = 4x$

We multiply both sides by $\frac{5}{2}$

$\frac{5}{2} \cdot\frac{2}{5}(x - 2) = 4x \times \frac{5}{2}$

We simplify to obtain:

$x - 2 = 10x$

Group similar terms to obtain:

$- 2 = 10x - x$

Simplify the right hand side.

$- 2 = 9x$

Divide both sides by 9.

$\frac{ - 2}{9} = \frac{9x}{9}$

$- \frac{2}{9} = x$

Or

$x = - \frac{2}{9}$

The second choice is correct