Question

Solve the following ⇒ 8x-5=5(x-4)

Answer 1

Answer:

x = -5

Step-by-step explanation:

Given:

$\displaystyle \large{8x-5=5(x-4)}$

Distribute 5(x-4):

$\displaystyle \large{8x-5=5x-20}$

Add both sides by 5:

$\displaystyle \large{8x-5+5=5x-20+5}\\\displaystyle \large{8x=5x-15}$

Subtract both sides by 5x:

$\displaystyle \large{8x-5x=5x-15-5x}\\\displaystyle \large{3x=-15}$

Divide both sides by 3:

$\displaystyle \large{\dfrac{3x}{3}=\dfrac{-15}{3}}\\\displaystyle \large{x=-5}$

Therefore, your solution is x = -5

Answer 2

Answer:

x = -5

Step-by-step explanation:

• 8x - 5 = 5(x - 4)

Distributing the value in the RHS

• 5(x - 4)
• 5(x) - 5(4)
• 5x - 20

Equating to the RHS

• 8x - 5 = 5x - 20

Bring x terms to the left and numbers to the right.

• 8x - 5x = -20 + 5
• 3x = -15

Divide both sides by 3.

• 3x/3 = -15/3
• x = -5