Question

Solve for x :
1/3x + 4= 4x – 1/5​

Answer 1

Step-by-step explanation:

1/3x+4=4x-1/5

We simplify the equation to the form, which is simple to understand

1/3x+4=4x-1/5

We move all terms containing x to the left and all other terms to the right.

+3x-4x=-0.2-4

We simplify left and right side of the equation.

-1x=-4.2

We divide both sides of the equation by -1 to get x.

x=4.2

Answer 2

Answer:

$\frac{1}{3} x + 4 = 4x - \frac{1}{5} \\ 4 + \frac{1}{5} = 4x - \frac{1}{3} x \\ \frac{20 + 1}{5} = \frac{12x - 1x}{3} \\ \frac{21}{5} = \frac{11x}{3} \\ 21 \times 3 = 5 \times 11x \\ 63 = 55x \\ \large{ \boxed{ \underline{ \underline{\frac{63}{55} }} = x}} \\ \\ \large{ \underline{Let's \: \: Verify} : } \\ \frac{1}{3} x + 4 = 4x - \frac{1}{5} \\ ( \frac{1}{3} \times \frac{63}{55} ) + 4 = (4 \times \frac{63}{55} ) - \frac{1}{5} \\ \frac{21}{55} + 4 = \frac{252}{55} - \frac{1}{5} \\ \frac{21 + 220}{55} = \frac{252 - 11}{55} \\ \large{ \boxed{ \underline{ \underline{ \frac{241}{55} = \frac{241}{55} }}}} \\ \\ \large{ Hence, \: \: Verified}$