Question

Solve the equation, justify each step with an algebraic property. (1)/(2)(8-6x)=10

Answer 1

To solve the equation (1/2)(8-6x)=10, you need to isolate x by multiplying, simplifying, and dividing both sides of the equation. The solution is x=-2.

Step-by-step explanation:

To solve the equation (1/2)(8-6x) = 10, we need to isolate x. Here are the steps:

1. Multiply both sides of the equation by 2 to eliminate the fraction: 2 * (1/2)(8-6x) = 2 * 10
2. Simplify: 8 - 6x = 20
3. Subtract 8 from both sides: -6x = 20 - 8
4. Simplify: -6x = 12
5. Divide both sides by -6 to solve for x: x = 12 / -6
6. Simplify: x = -2

Therefore, the solution to the equation is x = -2. Each step is justified using algebraic properties such as multiplication, subtraction, and division.