Question

Solve the following ⇒ 8x-5=5(x-4)

Answer 1

x = -5

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

Answer 2

x = -5

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{(3x)/(3)=(-15)/(3)}\\\displaystyle \large{x=-5}`

Therefore, your solution is x = -5