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Solve 3x + 1 = 52

The solution of 3x + 1 = 52 is x = 17.

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The lines y = 3x + 1 and y = 52 meet at x = 171214161820223540455055606570x = 17y = 3x + 1y = 52
The lines y = 3x + 1 and y = 52 meet at x = 17. 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=523x + 1 = 52
  2. 2

    Subtract 1 from both sides:

    3x+1−1=52−1 ⇒ 3x=513x + 1 - 1 = 52 - 1 \ \Rightarrow\ 3x = 51
  3. 3

    Divide both sides by 3:

    3x3=513 ⇒ x=17\frac{3x}{3} = \frac{51}{3} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    3⋅17+1=51+1=52✓3\cdot17 + 1 = 51 + 1 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 1 = 52\ \Rightarrow\ x = 17 \]
\[ 3x + 1 = 52 \]
\[ 3x + 1 - 1 = 52 - 1 \ \Rightarrow\ 3x = 51 \]
\[ \frac{3x}{3} = \frac{51}{3} \ \Rightarrow\ x = 17 \]
\[ 3\cdot17 + 1 = 51 + 1 = 52 \checkmark \]

Trying values of x in 3x + 1 = 52

x3x + 1Equals 52?
1546no
1649no
1752yes
1855no
1958no

Questions

What is x in 3x + 1 = 52?

The solution of 3x + 1 = 52 is x = 17.

How do you solve 3x + 1 = 52?

Subtract 1 from both sides to get 3x = 51, then divide both sides by 3 to get x = 17.

How do I check the answer?

Replace x by 17: 3(17) + 1 = 52, which is 52.

Similar equations

    Solve 3x + 1 = 52: x = 17 (steps and check) | WordGPT