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Solve 3x + 7 = 58

The solution of 3x + 7 = 58 is x = 17.

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The lines y = 3x + 7 and y = 58 meet at x = 171214161820224045505560657075x = 17y = 3x + 7y = 58
The lines y = 3x + 7 and y = 58 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+7=583x + 7 = 58
  2. 2

    Subtract 7 from both sides:

    3x+7−7=58−7 ⇒ 3x=513x + 7 - 7 = 58 - 7 \ \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+7=51+7=58✓3\cdot17 + 7 = 51 + 7 = 58 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 7 = 58\ \Rightarrow\ x = 17 \]
\[ 3x + 7 = 58 \]
\[ 3x + 7 - 7 = 58 - 7 \ \Rightarrow\ 3x = 51 \]
\[ \frac{3x}{3} = \frac{51}{3} \ \Rightarrow\ x = 17 \]
\[ 3\cdot17 + 7 = 51 + 7 = 58 \checkmark \]

Trying values of x in 3x + 7 = 58

x3x + 7Equals 58?
1552no
1655no
1758yes
1861no
1964no

Questions

What is x in 3x + 7 = 58?

The solution of 3x + 7 = 58 is x = 17.

How do you solve 3x + 7 = 58?

Subtract 7 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) + 7 = 58, which is 58.

Similar equations

    Solve 3x + 7 = 58: x = 17 (steps and check) | WordGPT