Question

Solve for x in these equations. Verify the solutions.

5(x + 1) + 6(x + 2) = 7(x + 3)


Explanation appreciated but not required :]

Answer 1

X = 1

Explanation:

We Start with this:

5(x + 1) + 6(x + 2) = 7(x + 3)

Next, use the distributive property to open the parenthesis.

5x + 5 + 6x + 12 = 7x + 21

Next, Combine like terms.

11x + 17 = 7x + 21

Add 7x to both sides.

11x = 7x + 4

Subtract 7x from both sides.

4x = 4

Divide both sides by 4.

X = 1

Answer 2

`5(x + 1) + 6(x + 2) = 7(x + 3) \\ 5x + 5 + 6x + 12 = 7x + 21 \\ 11x - 7x = 21 - 17 \\ 4x = 4 \\ x = (4)/(4) \\ x = 1`