Question

Solve for x. A. x = 12 B. x = 4 C. x = 3 D. x = 1

Answer 1

Answer:

4=x

Step-by-step explanation:

1/5( 2x+92) = 5x

Multiply each side by 5

5*1/5( 2x+92) = 5x*5

( 2x+92) = 25x

Subtract 2x from each side

2x+92-2x = 25x-2x

92 = 23x

Divide by 23

92/23 = 23x/23

4=x

Answer 2

Answer:

x = 4

Step-by-step explanation:

1/5 ( 2x + 92 ) = 5x

$\small \sf \frac{1}{5} × ( 2x + 92 ) = 5x$

distribute 1/5 through the parantheses

$\small \sf \frac{2}{5}x + \frac{92}{5} = 5x$

multiply both side of equation by 5

$\small \sf \frac{2}{5}x \times 5 + \frac{92}{5} \times 5 = 5x \times 5$

• 2x + 92 = 25x

Move all variables to the left hand side and change their sign

• 2x + 92 - 25x = 0

combine like terms

• 2x - 25x + 92 = 0

calculate

• -23x + 92 = 0

Move all the constant to the right side and change their sign

• -23 x = - 92

divide both side by -23x

• -23x / -23 = -92/-23
• x = 4