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Solve 3x + 1 = 7

The solution of 3x + 1 = 7 is x = 2.

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The lines y = 3x + 1 and y = 7 meet at x = 2-4-22468-10-5510152025x = 2y = 3x + 1y = 7
The lines y = 3x + 1 and y = 7 meet at x = 2. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    3x+1=73x + 1 = 7
  2. 2

    Subtract 1 from both sides:

    3x+1−1=7−1 ⇒ 3x=63x + 1 - 1 = 7 - 1 \ \Rightarrow\ 3x = 6
  3. 3

    Divide both sides by 3:

    3x3=63 ⇒ x=2\frac{3x}{3} = \frac{6}{3} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    3⋅2+1=6+1=7✓3\cdot2 + 1 = 6 + 1 = 7 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 1 = 7\ \Rightarrow\ x = 2 \]
\[ 3x + 1 = 7 \]
\[ 3x + 1 - 1 = 7 - 1 \ \Rightarrow\ 3x = 6 \]
\[ \frac{3x}{3} = \frac{6}{3} \ \Rightarrow\ x = 2 \]
\[ 3\cdot2 + 1 = 6 + 1 = 7 \checkmark \]

Trying values of x in 3x + 1 = 7

x3x + 1Equals 7?
01no
14no
27yes
310no
413no

Questions

What is x in 3x + 1 = 7?

The solution of 3x + 1 = 7 is x = 2.

How do you solve 3x + 1 = 7?

Subtract 1 from both sides to get 3x = 6, then divide both sides by 3 to get x = 2.

How do I check the answer?

Replace x by 2: 3(2) + 1 = 7, which is 7.

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    Solve 3x + 1 = 7: x = 2 (steps and check) | WordGPT