To solve for x, we need to isolate the variable on one side of the equation.
Starting with the equation:
−3x + 42 = 5
We need to get rid of the constant term on the left side by subtracting 42 from both sides:
−3x + 42 - 42 = 5 - 42
This simplifies to:
−3x = -37
Now, to isolate x, we divide both sides of the equation by -3:
-3x/(-3) = -37/(-3)
This simplifies to:
x = 37/3
Therefore, x = 37/3.
−3x+42=5 (6 points)x =
3 answers
Solve for the given variable. (6 points)−16z−20=−12z+8z=
To solve for z, we need to isolate the variable on one side of the equation.
Starting with the equation:
−16z − 20 = −12z + 8
We can combine like terms on the right side by adding −12z and 8z:
−16z − 20 = −4z + 8
Next, we want to move the constant terms to the other side of the equation. We can do this by adding 20 to both sides:
−16z − 20 + 20 = −4z + 8 + 20
Simplifying, we get:
−16z = −4z + 28
Now, let's isolate z by subtracting −4z from both sides:
−16z - (-4z) = −4z + 28 - (-4z)
Simplifying, we get:
-16z + 4z = 28
Combine like terms:
-12z = 28
Finally, to solve for z, we divide both sides of the equation by -12:
(-12z) / (-12) = 28 / (-12)
Simplifying, we get:
z = -7/3
Therefore, z = -7/3.
Starting with the equation:
−16z − 20 = −12z + 8
We can combine like terms on the right side by adding −12z and 8z:
−16z − 20 = −4z + 8
Next, we want to move the constant terms to the other side of the equation. We can do this by adding 20 to both sides:
−16z − 20 + 20 = −4z + 8 + 20
Simplifying, we get:
−16z = −4z + 28
Now, let's isolate z by subtracting −4z from both sides:
−16z - (-4z) = −4z + 28 - (-4z)
Simplifying, we get:
-16z + 4z = 28
Combine like terms:
-12z = 28
Finally, to solve for z, we divide both sides of the equation by -12:
(-12z) / (-12) = 28 / (-12)
Simplifying, we get:
z = -7/3
Therefore, z = -7/3.