Question

Solve for x: two fifths(x − 2) = 4x.

Answer 1

Answer:

x = -2/9.

Step-by-step explanation:

2/5(x - 2) = 4x   Distributing the 2/5 over the parentheses:

2/5x - 4/5 = 4x

2/5 x - 4x = 4/5

Multiply through by 5 to get rid of the fractions:

2x - 20x = 4

-18x = 4

x = 4/-18 = -2/9.

Answer 2

Answer:

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

Step-by-step explanation:

Given

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

Multiply both sides by 5 to clear the fraction

2(x - 2) = 20x ← distribute left side

2x - 4 = 20x ( subtract 20x from both sides )

- 18x - 4 = 0 ( add 4 to both sides )

- 18x = 4 ( divide both sides by - 18 )

x = $\frac{4}{-18}$ = - $\frac{2}{9}$