Question

Solve to find X. 1/5(x - 2) = 1/10 (x + 6)

Answer 1

Answer:

Step-by-step explanation:

1/5(x-2) =1/10(x+6)

1/5x-2 = 1/10x+0.6

1/5x+1/10x= 0.6-2

0.2x+0.1x= -1.4

0.3x= -1.4

x= -4.67

x= -4.7

x= -5

Answer 2

Answer:

x = 10

Step-by-step explanation:

First, distribute:

$\frac{1}{5} x - \frac{2}{5} =\frac{1}{10} x+\frac{6}{10}$

Next, subtract $\frac{1}{5}x$ from both sides:

$-\frac{2}{5} = \frac{1}{10} x -\frac{1}{5} x+\frac{6}{10}$

(multiply $\frac{1}{5}x$ by 2 to get common denominator, $\frac{2}{10} x$ )

$-\frac{2}{5} =-\frac{1}{10}x +\frac{6}{10}$

Next, subtract $\frac{6}{10}$ from both sides:

$-\frac{2}{5} -\frac{6}{10} =-\frac{1}{10} x$

(multiply $\frac{2}{5}$ by 2 to get common denominator, $\frac{4}{10}$ )

$-\frac{10}{10} =-\frac{1}{10} x$ ⇒ $-1=-\frac{1}{10} x$

Next, multiply both sides by 10:

$-10=-x$

FInally, divide both sides by -1:

x = 10