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In the equation below, which number is represented by the box?

5×?+1=2×?+7
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In the equation below, which number is represented by the box?\newline5×?+1=2×?+7 5 \times ?+1=2 \times ?+7 \newline22\newline33\newline44

Full solution

Q. In the equation below, which number is represented by the box?\newline5×?+1=2×?+7 5 \times ?+1=2 \times ?+7 \newline22\newline33\newline44
  1. Write Equation: First, let's write down the equation: 5×?+1=2×?+75\times ?+1=2\times ?+7.
  2. Get xx Terms Together: Now, we need to get all the xx terms on one side of the equation. So, we'll subtract 2×x2\times x from both sides: 5×x2×x=2×x2×x+715\times x-2\times x=2\times x-2\times x+7-1.
  3. Simplify: After simplifying, we get 3×?=713\times ?=7-1.
  4. Subtract to Find Value: Next, we subtract 11 from 77 to find the value on the right side of the equation: 3×?=63\times ?=6.
  5. Divide to Solve: Now, we divide both sides by 33 to solve for xx: x=6÷3x=6\div3.
  6. Calculate Value: Finally, we calculate 6÷36\div3 to get the value of ??: ?=2?=2.