To solve the equation, we simplify both sides of the equation:
4x + 3(x - 2) = 8x - (6 + x)
4x + 3x - 6 = 8x - 6 - x
7x - 6 = 7x - 6
Now, we notice that both sides of the equation are equal. This means that any value of x will satisfy the equation. Therefore, the equation has infinite solutions.
Therefore, the answer is A: infinite solutions.
what is the solution to the equation below?
4x + 3 (x - 2) = 8x - (6 + x)
A: infinite solutions
B: no solution
C: x = 6
D: x = -4
3 answers
actually?
My apologies for the mistake. Let's re-evaluate the equation:
4x + 3 (x - 2) = 8x - (6 + x)
Distributing the 3 on the left side:
4x + 3x - 6 = 8x - 6 - x
Combining like terms:
7x - 6 = 7x - 6
Now, we notice that the variable terms (7x) cancel out on both sides of the equation.
-6 = -6
This is a true statement, which means that the equation is an identity. It implies that any value of x will satisfy the equation. Therefore, the equation has infinite solutions.
Thus, the answer is A: infinite solutions.
4x + 3 (x - 2) = 8x - (6 + x)
Distributing the 3 on the left side:
4x + 3x - 6 = 8x - 6 - x
Combining like terms:
7x - 6 = 7x - 6
Now, we notice that the variable terms (7x) cancel out on both sides of the equation.
-6 = -6
This is a true statement, which means that the equation is an identity. It implies that any value of x will satisfy the equation. Therefore, the equation has infinite solutions.
Thus, the answer is A: infinite solutions.