I’m the equation what is the value of x. -4(x+4x)=2(2-x)+10
To solve for x in the equation -4(x+4x)=2(2-x)+10, we can start by simplifying both sides.
First, let's simplify the left side of the equation:
-4(x+4x) = -4(5x) = -20x
Now, let's simplify the right side of the equation:
2(2-x)+10 = 4-2x+10 = 14-2x
So, the equation becomes -20x = 14-2x.
To isolate x, let's move the terms with x to one side by adding 2x to both sides:
-20x + 2x = 14-2x + 2x
This simplifies to:
-18x = 14
Finally, we can solve for x by dividing both sides of the equation by -18:
x = 14/-18
Simplifying further:
x = -7/9
Therefore, the value of x in the equation is x = -7/9.
To find the value of x in the equation -4(x+4x)=2(2-x)+10, let's simplify the equation step-by-step:
Step 1: Simplify the left side of the equation:
-4(x+4x) = -4(1x+4x) = -4(5x) = -20x
Step 2: Simplify the right side of the equation:
2(2-x) + 10 = 4-2x + 10 = 14 - 2x
Now we have: -20x = 14 - 2x
Step 3: Let's isolate the variable x on one side:
To do this, we need to get rid of the -2x term on the right side of the equation. We can do this by adding 2x to both sides:
-20x + 2x = 14 - 2x + 2x
-18x = 14
Step 4: Solve for x by dividing both sides of the equation by -18:
-18x/-18 = 14/-18
x = -14/18
Step 5: Simplify the fraction:
x = -7/9
Therefore, the value of x in the given equation is x = -7/9.
To solve the equation -4(x + 4x) = 2(2 - x) + 10, we need to simplify both sides and then solve for x.
First, let's simplify each side of the equation:
On the left side, we can distribute the -4 to (x + 4x):
-4(x + 4x) simplifies to -4(5x) = -20x.
On the right side, we can distribute the 2 to (2 - x):
2(2 - x) simplifies to 4 - 2x.
Now, let's rewrite the original equation with the simplified expressions:
-20x = 4 - 2x + 10
Next, let's combine like terms on the right side. We have 4 and 10, which can be added together to give 14:
-20x = 14 - 2x
Now, let's isolate the x term on one side of the equation by adding 2x to both sides:
-20x + 2x = 14 - 2x + 2x
Simplifying, we get:
-18x = 14
Finally, to solve for x, we divide both sides of the equation by -18:
-18x / -18 = 14 / -18
The negative signs cancel out, giving us:
x = -14/18
Simplifying the fraction, we get:
x = -7/9
So, the value of x in the equation -4(x + 4x) = 2(2 - x) + 10 is x = -7/9.