2(x+5) + 2x = 150

Answer 1

To solve the equation 2(x+5) + 2x = 150, we will first simplify the left side:

2(x+5) + 2x
= 2x + 10 + 2x (Distributive property)
= 4x + 10

Now we have the equation 4x + 10 = 150. To isolate the variable, we will subtract 10 from both sides:

4x + 10 - 10 = 150 - 10
4x = 140

To solve for x, we will divide both sides by 4:

4x/4 = 140/4
x = 35

So, the solution to the equation is x = 35.

Answer 2

-4(x + 3) + 2x = 40

Answer 3

To solve the equation -4(x + 3) + 2x = 40, we need to simplify both sides of the equation.

Applying the distributive property, we have:
-4(x + 3) + 2x = 40
-4x - 12 + 2x = 40
-2x - 12 = 40

To isolate the variable, we'll add 12 to both sides:
-2x - 12 + 12 = 40 + 12
-2x = 52

Next, we'll divide both sides by -2 to solve for x:
(-2x)/-2 = 52/-2
x = -26

Therefore, the solution to the equation is x = -26.

Answer 4

2(2 - 3) - 17 = 13 - 3(w + 2)

Answer 5

Let's solve the equation step by step.

2(2 - 3) - 17 = 13 - 3(w + 2)

First, let's simplify the left side:
2(-1) - 17 = 13 - 3(w + 2)
-2 - 17 = 13 - 3(w + 2)
-19 = 13 - 3(w + 2)

Then, let's simplify the right side:
-19 = 13 - 3(w + 2)
-19 = 13 - 3w - 6
-19 = 7 - 3w

Next, let's simplify the right side:
-19 = 7 - 3w
-19 - 7 = -3w
-26 = -3w

To solve for w, divide by -3 on both sides:
-26 / -3 = -3w / -3
8.67 = w
or
w = 8.67

Therefore, the solution to the equation is w = 8.67.