Questions: Solve the equation. First combine any like terms on each side of the equation. 3x + 7 - 2x = 16 The solution is x =

Transcript text: Solve the equation. First combine any like terms on each side of the equation. \[ 3 x+7-2 x=16 \] The solution is $x=$ $\square$

Solution

Solution Steps

To solve the equation $3x + 7 - 2x = 16$, we first combine like terms on the left side of the equation. This simplifies to $x + 7 = 16$. Then, we isolate $x$ by subtracting 7 from both sides of the equation.

Step 1: Combine Like Terms

Starting with the equation: \[ 3x + 7 - 2x = 16 \] we combine the like terms on the left side: \[ (3x - 2x) + 7 = 16 \] This simplifies to: \[ x + 7 = 16 \]

Step 2: Isolate $x$

Next, we isolate $x$ by subtracting 7 from both sides: \[ x + 7 - 7 = 16 - 7 \] This results in: \[ x = 9 \]