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Solve 3x + 7 = 61

The solution of 3x + 7 = 61 is x = 18.

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The lines y = 3x + 7 and y = 61 meet at x = 1812141618202224404550556065707580x = 18y = 3x + 7y = 61
The lines y = 3x + 7 and y = 61 meet at x = 18. 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=613x + 7 = 61
  2. 2

    Subtract 7 from both sides:

    3x+7−7=61−7 ⇒ 3x=543x + 7 - 7 = 61 - 7 \ \Rightarrow\ 3x = 54
  3. 3

    Divide both sides by 3:

    3x3=543 ⇒ x=18\frac{3x}{3} = \frac{54}{3} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    3⋅18+7=54+7=61✓3\cdot18 + 7 = 54 + 7 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 7 = 61\ \Rightarrow\ x = 18 \]
\[ 3x + 7 = 61 \]
\[ 3x + 7 - 7 = 61 - 7 \ \Rightarrow\ 3x = 54 \]
\[ \frac{3x}{3} = \frac{54}{3} \ \Rightarrow\ x = 18 \]
\[ 3\cdot18 + 7 = 54 + 7 = 61 \checkmark \]

Trying values of x in 3x + 7 = 61

x3x + 7Equals 61?
1655no
1758no
1861yes
1964no
2067no

Questions

What is x in 3x + 7 = 61?

The solution of 3x + 7 = 61 is x = 18.

How do you solve 3x + 7 = 61?

Subtract 7 from both sides to get 3x = 54, then divide both sides by 3 to get x = 18.

How do I check the answer?

Replace x by 18: 3(18) + 7 = 61, which is 61.

Similar equations

    Solve 3x + 7 = 61: x = 18 (steps and check) | WordGPT