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Solve the equation.

[tex]\[ -10x + 1 + 7x = 37 \][/tex]

A. [tex]\( x = -15 \)[/tex]
B. [tex]\( x = -12 \)[/tex]
C. [tex]\( x = 12 \)[/tex]
D. [tex]\( x = 15 \)[/tex]

Sagot :

GinnyAnsweridn
Let's solve the equation step-by-step.

The given equation is:
[tex]\[ -10x + 1 + 7x = 37 \][/tex]

### Step 1: Combine like terms

First, we need to combine the like terms on the left-hand side:

[tex]\[ -10x + 7x = -3x \][/tex]

So, the equation simplifies to:
[tex]\[ -3x + 1 = 37 \][/tex]

### Step 2: Isolate the x-term

Next, we want to isolate the term that includes [tex]\( x \)[/tex]. To do this, we'll subtract 1 from both sides of the equation:

[tex]\[ -3x + 1 - 1 = 37 - 1 \][/tex]

This simplifies to:
[tex]\[ -3x = 36 \][/tex]

### Step 3: Solve for [tex]\( x \)[/tex]

Now, we need to solve for [tex]\( x \)[/tex] by dividing both sides of the equation by -3:

[tex]\[ x = \frac{36}{-3} \][/tex]

This simplifies to:
[tex]\[ x = -12 \][/tex]

### Conclusion

The solution to the given equation is:

[tex]\[ x = -12 \][/tex]

Therefore, the correct answer from the given options is:
[tex]\[ \boxed{-12} \][/tex]
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