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Solve 3x + 1 = 10

The solution of 3x + 1 = 10 is x = 3.

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The lines y = 3x + 1 and y = 10 meet at x = 3-22468-10-551015202530x = 3y = 3x + 1y = 10
The lines y = 3x + 1 and y = 10 meet at x = 3. 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=103x + 1 = 10
  2. 2

    Subtract 1 from both sides:

    3x+1−1=10−1 ⇒ 3x=93x + 1 - 1 = 10 - 1 \ \Rightarrow\ 3x = 9
  3. 3

    Divide both sides by 3:

    3x3=93 ⇒ x=3\frac{3x}{3} = \frac{9}{3} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    3⋅3+1=9+1=10✓3\cdot3 + 1 = 9 + 1 = 10 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 1 = 10\ \Rightarrow\ x = 3 \]
\[ 3x + 1 = 10 \]
\[ 3x + 1 - 1 = 10 - 1 \ \Rightarrow\ 3x = 9 \]
\[ \frac{3x}{3} = \frac{9}{3} \ \Rightarrow\ x = 3 \]
\[ 3\cdot3 + 1 = 9 + 1 = 10 \checkmark \]

Trying values of x in 3x + 1 = 10

x3x + 1Equals 10?
14no
27no
310yes
413no
516no

Questions

What is x in 3x + 1 = 10?

The solution of 3x + 1 = 10 is x = 3.

How do you solve 3x + 1 = 10?

Subtract 1 from both sides to get 3x = 9, then divide both sides by 3 to get x = 3.

How do I check the answer?

Replace x by 3: 3(3) + 1 = 10, which is 10.

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    Solve 3x + 1 = 10: x = 3 (steps and check) | WordGPT