The solution to the equation -4(x+1)+6x=2(x+2)-8 is:
Statement: The equation is true for all values of x.
Explanation: When we simplify the equation, we get -4x - 4 + 6x = 2x + 4 - 8. The -4 and +4 terms cancel out on the left side, and the -4 and +4 terms cancel out on the right side. We are left with -4x + 6x = 2x - 4 - 8, which simplifies to 2x = 2x - 12.
However, since both sides of the equation contain the same variable (2x), the equation is true for all values of x. There is no single solution that satisfies the equation.
For each equation, choose the statement that describes its solution.
If applicable, give the solution.
-4(x+1)+6x=2(x+2)-8
1 answer