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Solve−5(x+6)+5 = 4(x−7) for x

User Arun V
by
8.5k points

2 Answers

5 votes

Answer:


\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.

User Aaron Qian
by
7.9k points
1 vote

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

User IAMTubby
by
8.2k points

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