Question

solve for x.
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x + 2·4 = 3x
x + 8 = 3x
multiply both sides :multiply both sides by what?
8(□) = 2x(□)

Explanation:

Step1: Simplify the original equation

We have the equation \(x + 2\cdot4=3x\), first calculate \(2\cdot4 = 8\), so the equation becomes \(x + 8=3x\).

Step2: Rearrange the equation

Subtract \(x\) from both sides: \(x+8 - x=3x - x\), which simplifies to \(8 = 2x\).

Step3: Analyze the multiplication step

We want to get from \(8 = 2x\) to a form like \(8(\square)=2x(\square)\). To keep the equation balanced, we multiply both sides by the same non - zero number. If we multiply both sides by \(1\), we have \(8\times1=2x\times1\). But maybe there is a mis - step in the problem's given form. Wait, actually, if we start from \(8 = 2x\), and we want to write it as \(8(\square)=2x(\square)\), the number we multiply both sides by is \(1\) (because multiplying by \(1\) doesn't change the value). But maybe the problem has a typo or we misinterpret. Wait, let's re - examine. If we consider the equation \(8 = 2x\), and we want to multiply both sides by a number, say \(k\), then \(8k=2xk\). The most straightforward non - zero number to multiply by is \(1\), so \(k = 1\).

Answer:

The number to multiply both sides by is \(1\), so the boxes should be filled with \(1\) and \(1\) respectively. So \(8(1)=2x(1)\)