Answer: x = 2
Step-by-step explanation: To solve for x, we first need to simplify the equation using the distributive property and combining like terms:
5(x + 2) = 26 - 3x
5x + 10 = 26 - 3x
Next, we want to isolate the variable x on one side of the equation. We can do this by adding 3x to both sides and subtracting 10 from both sides:
5x + 3x + 10 - 10 = 26 - 10 - 3x
8x = 16
Finally, we can solve for x by dividing both sides by 8:
x = 2
Therefore, the solution to the equation 5(x + 2) = 26 - 3x is x = 2.