To solve the equation 10x + 7x = 37, we start by combining the like terms on the left side of the equation.
First, add 10x and 7x together:
10x + 7x = 17x
This simplifies our equation to:
17x = 37
Next, we need to isolate x. To do this, we will divide both sides of the equation by 17:
x = 37 / 17
This gives us:
x = 2.1765 (approximately)
So the solution to the equation 10x + 7x = 37 is x ≈ 2.18.