Question

the equation 2(x + 3) = 3x + 4 have one solution, no solutions, or infinitely many solutions?
that we have all of the x terms on the right, we can solve for the value of x. think about what
old do to each side so that x is isolated on the right side of the equation. then, rewrite the
equation to solve for x.
2(x + 3) = 3x + 4
2x + 6 = 3x + 4

• 2x - 2x

6 = x + 4
x = \boxed{}

Explanation:

Step1: Isolate x term

We have the equation \(6 = x + 4\). To isolate \(x\), we subtract 4 from both sides.

$$6 - 4 = x + 4 - 4$$

Step2: Simplify both sides

Simplifying the left side: \(6 - 4 = 2\). Simplifying the right side: \(x + 4 - 4 = x\). So we get \(x = 2\).

Answer:

\(2\)