Respuesta :
Answer:
x = 1
Step-by-step explanation:
Simplifying
7(x + 1) + -2 = 5(x + 1) + 2
Reorder the terms:
7(1 + x) + -2 = 5(x + 1) + 2
(1 * 7 + x * 7) + -2 = 5(x + 1) + 2
(7 + 7x) + -2 = 5(x + 1) + 2
Reorder the terms:
7 + -2 + 7x = 5(x + 1) + 2
Combine like terms: 7 + -2 = 5
5 + 7x = 5(x + 1) + 2
Reorder the terms:
5 + 7x = 5(1 + x) + 2
5 + 7x = (1 * 5 + x * 5) + 2
5 + 7x = (5 + 5x) + 2
Reorder the terms:
5 + 7x = 5 + 2 + 5x
Combine like terms: 5 + 2 = 7
5 + 7x = 7 + 5x
Solving
5 + 7x = 7 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
5 + 7x + -5x = 7 + 5x + -5x
Combine like terms: 7x + -5x = 2x
5 + 2x = 7 + 5x + -5x
Combine like terms: 5x + -5x = 0
5 + 2x = 7 + 0
5 + 2x = 7
Add '-5' to each side of the equation.
5 + -5 + 2x = 7 + -5
Combine like terms: 5 + -5 = 0
0 + 2x = 7 + -5
2x = 7 + -5
Combine like terms: 7 + -5 = 2
2x = 2
Divide each side by '2'.
x = 1
Simplifying
x = 1
Answer:
Hello! The answer is x = 1.
Step-by-step explanation:
To solve this equation, we need to find x.
The first step in approaching this problem would be to use the distributive property:
7(x + 1) - 2 = 5(x + 1) + 2 will turn into:
7x + 7 - 2 = 5x + 5 + 2
Now, you can combine like terms on each side of the equation:
7x + 5 = 5x + 7
Now, you want to get the x's on one side and the whole numbers on the other side. In order to do this, we will subtract 5 from both sides and subtract 5x from both sides:
7x + 5 = 5x + 7
-5x -5 -5x -5
This will leave us with:
2x = 2
We will have to now divide both sides by 2 to get x by itself:
2x = 2
-- --
2 2
This leaves us with the result: x = 1
