Question

58(x+12)=100

Correctly order the steps used to solve this equation.

Answer 1

To solve the equation \( 58(x + 12) = 100 \), follow these steps in order:

1. **Distribute:** Distribute 58 to both \( x \) and 12 inside the parentheses.
\[
58x + 696 = 100
\]

2. **Subtract 696 from both sides:** Isolate the term with \( x \) by moving 696 to the right side of the equation.
\[
58x = 100 - 696
\]
\[
58x = -596
\]

3. **Divide by 58:** Solve for \( x \) by dividing both sides by 58.
\[
x = \frac{-596}{58}
\]

4. **Simplify:** Calculate the right side to find the value of \( x \).
\[
x = -10.276
\]

So, the correct order of steps to solve the equation \( 58(x + 12) = 100 \) is:

1. Distribute \( 58 \) to \( (x + 12) \).
2. Subtract \( 696 \) from both sides.
3. Divide by \( 58 \).
4. Simplify the fraction to find \( x \).