Question

does the equation $2(x + 3) = 3x + 4$ have one solution, no solutions, or infinitely many solutions?
subtract $2x$ from both sides and rewrite the equation to represent the remaining values.
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$$\begin{align*} 2(x + 3) &= 3x + 4 \\\\ 2x + 6 &= 3x + 4 \\\\ - 2x &\\quad \\quad \\quad - 2x \\\\ \\square &= \\square \\end{align*}$$

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Explanation:

Step1: Simplify left side

Subtract \(2x\) from \(2x + 6\): \(2x + 6 - 2x = 6\)

Step2: Simplify right side

Subtract \(2x\) from \(3x + 4\): \(3x + 4 - 2x = x + 4\)

Answer:

Left box: \(6\), Right box: \(x + 4\) (rewritten equation: \(6 = x + 4\))