Answered

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What is the solution to this equation?

[tex]-8x + 4 = 36[/tex]

A. [tex]x = 5[/tex]
B. [tex]x = 4[/tex]
C. [tex]x = -4[/tex]
D. [tex]x = -5[/tex]

Sagot :

GinnyAnswer
Let's solve the equation step-by-step to find the value of [tex]\(x\)[/tex]:

Given equation:
[tex]\[ -8x + 4 = 36 \][/tex]

First, let's isolate the term with [tex]\(x\)[/tex] on one side. We do this by subtracting 4 from both sides of the equation:
[tex]\[ -8x + 4 - 4 = 36 - 4 \][/tex]
[tex]\[ -8x = 32 \][/tex]

Now, we need to solve for [tex]\(x\)[/tex] by dividing both sides of the equation by -8:
[tex]\[ \frac{-8x}{-8} = \frac{32}{-8} \][/tex]
[tex]\[ x = -4 \][/tex]

Therefore, the solution to the equation [tex]\( -8x + 4 = 36 \)[/tex] is:
[tex]\[ x = -4 \][/tex]

So, the correct answer is:
[tex]\[ \boxed{x = -4} \][/tex]

Option:
C. [tex]\( x = -4 \)[/tex] is correct.
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