asked 77.6k views
2 votes
Anyone pls help me with this 3(x+1)+1+2x=2(2x+2)+x

asked
User Nashon
by
7.9k points

2 Answers

4 votes
step by step:

Distribute the coefficients on both sides:
3(x+1) + 1 + 2x = 2(2x+2) + x
3x + 3 + 1 + 2x = 4x + 4 + x
Combine like terms on each side:
5x + 4 = 5x + 4
Subtract 5x from both sides to isolate the constant terms:
4 = 4
Since the equation 4 = 4 is true, this means that the original equation is an identity, which means it's true for all values of x. In other words, any value of x will satisfy the equation.
answered
User Adamantus
by
8.2k points
3 votes

Answer:

No solution

Explanation:

Given equation:


\sf 3(x+1) + 1 + 2x = 2(2x+2) +x

let's simplify this by the following ways:

Distribute the 3 on the left side and the 2 on the right side:


\sf 3x + 3 + 1 + 2x = 4x + 4+x

Combine like terms on both sides:

[tex]\sf 5x + 4 = 5x + 4[\tex]

Notice that the terms on both sides of the equation are the same.

This means that the equation doesn't have a unique solution for x.

In other words, the equation is an identity, which means it's true for any value of x.

The solution is that x can be any real number.

Therefore, the equation has no solution.

answered
User Jina
by
8.2k points

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