Question

Solve the Equation.
-2 + 7(2 + 2) = 5(2x - 2) + 4

Answer 1

To solve the equation -2 + 7(2 + 2) = 5(2x - 2) + 4, the steps involve simplifying both sides, solving for x, and finally checking that the answer is reasonable. The solution is x = 3.2.

Step-by-step explanation:

To solve the equation -2 + 7(2 + 2) = 5(2x - 2) + 4, let's first simplify both sides:

• On the left side, calculate the value inside the parentheses: 2 + 2 = 4.
• Multiply this by 7 to get 7 * 4 = 28.
• Then subtract 2 to get 28 - 2 = 26.

Now, the equation looks like 26 = 5(2x - 2) + 4. Here's how to simplify the right side:

• Expand the parenthesis: 5(2x - 2) becomes 10x - 10.
• Add the 4 to get 10x - 10 + 4.
• Simplify the constant terms: -10 + 4 = -6.

Now our equation is 26 = 10x - 6. To solve for x, follow these steps:

1. Add 6 to both sides to get 26 + 6 = 10x, which simplifies to 32 = 10x.
2. Divide both sides by 10 to get x = 32/10.
3. Simplify to find x = 3.2.

So the solution to the equation is x = 3.2.

Remember to check the answer making sure it is reasonable within the context of the problem.