To solve for x, let's simplify the equation step by step:
3(2x+2) - 4 = -2x + 10
First, distribute the 3 to the terms inside the parentheses:
6x + 6 - 4 = -2x + 10
Combine like terms:
6x + 2 = -2x + 10
Next, move all the x terms to one side of the equation and the constant terms to the other side:
6x + 2x = 10 - 2
Combine like terms again:
8x = 8
Now, divide both sides of the equation by 8 to solve for x:
x = 1
Therefore, the equation has one solution: x = 1.
Solve for x
to determine if the equation has one, none, or infinite solutions.
3(2x+2)−4=−2x+10
(1 point)
Responses
The equation has no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=1
.
The equation has one solution: x equals 1 .
The equation has one solution: x=0
.
1 answer