Question

Order the steps for solving the equation: 2x−5=3 (4x+5)

Answer 1

To solve the equation \( 2x - 5 = 3(4x + 5) \), you can follow these steps in order:

1. **Distribute on the right side**: Multiply both terms inside the parentheses by 3.
\[
2x - 5 = 12x + 15
\]

2. **Rearrange the equation**: Move all terms involving \( x \) to one side and constant terms to the other side. This can be done by subtracting \( 12x \) from both sides:
\[
2x - 12x - 5 = 15
\]
or simplified as:
\[
-10x - 5 = 15
\]

3. **Isolate the term with \( x \)**: Add 5 to both sides of the equation.
\[
-10x = 20
\]

4. **Solve for \( x \)**: Divide both sides by -10.
\[
x = -2
\]

So the ordered steps to solve the equation \( 2x - 5 = 3(4x + 5) \) are:
1. Distribute on the right side.
2. Rearrange the equation to isolate the \( x \) terms.
3. Isolate the term with \( x \) on one side.
4. Solve for \( x \).