Question

Solve−5(x+6)+5 = 4(x−7) for x

Answer 1

`\sf \: x = (1)/(3)`

Explanation:

Given equation,

→ -5(x + 6) + 5 = 4(x - 7)

Now the value of x will be,

→ -5(x + 6) + 5 = 4(x - 7)

→ -5x - 30 + 5 = 4x - 28

→ -5x - 25 = 4x -28

→ -5x - 4x = -28 + 25

→ -9x = -3

`\sf \rightarrow \: x = ( - 3)/( - 9)`

`\sf \rightarrow \: x = (3)/(9)`

`\sf \rightarrow \boxed{ \sf x = (1)/(3) }`

Hence, the value of x is 1/3.

Answer 2

we have the equation

`−5\left(x+6\right)+5=4\left(x−7\right)`

Solve for x

step 1

Apply distributive property on both sides

`-5x-30+5=4x-28`

step 2

Group similar terms

`\begin{gathered} 4x+5x=-30+5+28 \\ Combin\text{e like terms} \\ 9x=3 \\ x=(9)/(3) \\ x=3 \end{gathered}`

The value of x=3