2(2x-7)-16=3(-x-7)-11
After getting rid of the ()
4x-14-16=-3x-21-11
Where do I go from here?
2(2x - 7) - 16 = 3 (-x - 7) - 11
= 4x - 14 - 16 = -3x -21 - 11
= 4x - 30 = -3x - 32
What do you do frok there?
4x - 30 = -3x - 32
add 3x to both sides
7x - 30 = -32
add 30 to both sides
7x = -2
divide by 7
x = -2/7
You have correctly simplified the expression by distributing the numbers and clearing the parentheses. Now, let's continue solving the equation by combining like terms and isolating the variable.
Starting with:
4x - 14 - 16 = -3x - 21 - 11
First, let's combine the constant terms on both sides of the equation:
4x - 30 = -3x - 32
Next, let's cancel out the variable terms on one side of the equation. To do this, we can add 3x to both sides:
4x + 3x - 30 = -3x + 3x - 32
Simplifying further:
7x - 30 = -32
Now, let's isolate the variable by getting rid of the constant term on the left side. We can do this by adding 30 to both sides of the equation:
7x - 30 + 30 = -32 + 30
Simplifying:
7x = -2
Finally, to find the value of x, divide both sides of the equation by 7:
(7x) / 7 = (-2) / 7
x = -2/7
So, the solution to the equation is x = -2/7.