Look at the equation.
 
23x−7=−13x+12

What value of x
 makes this equation true?
 
A.5

B.53

C.19

D.−5


Let's solve the equation \(23x - 7 = -13x + 12\) to find the value of \(x\).

### Step 1: Combine like terms
Move all terms involving \(x\) to one side and constant terms to the other side.

\[
23x + 13x = 12 + 7
\]

### Step 2: Simplify both sides
\[
36x = 19
\]

### Step 3: Solve for \(x\)
Now, divide both sides by 36 to find \(x\).

\[
x = \frac{19}{36}
\]

So, the value of \(x\) is \(\frac{19}{36}\), which is not one of the provided options. Since this is a fraction and not an integer, none of the answer choices \(A. 5\), \(B. 53\), \(C. 19\), or \(D. -5\) are correct.

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Look at the equation: 23x−7=−13x+12. What value of x makes this equation true? A. 5 B. 53 C. 19 D. −5

Discover how to solve the linear equation 23x−7=−13x+12 with a clear step-by-step solution. This algebra problem covers key concepts such as combining like terms and solving for x, suitable for students in Grades 7-8.

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