Solve for x to determine if the equation has one, none, or infinite solutions.

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

1 answer

To solve the equation, we will start by distributing 5 on the left side:

5(2x + 2) = 10x + 10

Now we will solve for x by combining like terms and simplifying:

10x + 10 - 7x = 3x + 6

Combining like terms on both sides:

10x - 7x - 3x = 6 - 10

Simplifying:

0x = -4

Since we have 0x on the left side, this equation is equivalent to 0 = -4, which is a false statement.

Therefore, the equation has no solution.