How many solutions does the
equation have?
8 + 2(𝑥 − 6) = −2 + 2𝑥 − 2
S. one solution
T. infinite solutions
U. no solutions
3 answers
S. one solution
wrong
Let's solve the equation step by step.
8 + 2(x - 6) = -2 + 2x - 2
First, distribute the 2 on the left side:
8 + 2x - 12 = -2 + 2x - 2
Combine like terms:
2x - 4 = 2x - 4
Subtract 2x from both sides:
-4 = -4
Since both sides are equal, the original equation is an identity and is true for all real numbers of x. There are infinite solutions. So, the answer is:
T. infinite solutions
8 + 2(x - 6) = -2 + 2x - 2
First, distribute the 2 on the left side:
8 + 2x - 12 = -2 + 2x - 2
Combine like terms:
2x - 4 = 2x - 4
Subtract 2x from both sides:
-4 = -4
Since both sides are equal, the original equation is an identity and is true for all real numbers of x. There are infinite solutions. So, the answer is:
T. infinite solutions