Question

Solve the following equation. Justify each step using the properties of equality. 5x-3(x-2)=10+x

Answer 1

• x = 4

Explanation:

To solve the equation 5x-3(x-2)=10+x, let's break it down step by step using the properties of equality:

Step 1: Distribute the -3 to the terms inside the parentheses.

• 5x - 3x + 6 = 10 + x

Step 2: Combine like terms on both sides of the equation.

• 2x + 6 = 10 + x

Step 3: Simplify the equation further by subtracting x from both sides.

• 2x - x + 6 = 10

Step 4: Combine like terms on the left side of the equation.

• x + 6 = 10

Step 5: To isolate the variable x, subtract 6 from both sides.

• x + 6 - 6 = 10 - 6

Step 6: Simplify the equation further.

• x = 4

So, the solution to the equation 5x-3(x-2)=10+x is x = 4.

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Answer 2

2

Explanation:

4-2