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Solve 3x + 4 = 61

The solution of 3x + 4 = 61 is x = 19.

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The lines y = 3x + 4 and y = 61 meet at x = 19141618202224404550556065707580x = 19y = 3x + 4y = 61
The lines y = 3x + 4 and y = 61 meet at x = 19. 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+4=613x + 4 = 61
  2. 2

    Subtract 4 from both sides:

    3x+4−4=61−4 ⇒ 3x=573x + 4 - 4 = 61 - 4 \ \Rightarrow\ 3x = 57
  3. 3

    Divide both sides by 3:

    3x3=573 ⇒ x=19\frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    3⋅19+4=57+4=61✓3\cdot19 + 4 = 57 + 4 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 4 = 61\ \Rightarrow\ x = 19 \]
\[ 3x + 4 = 61 \]
\[ 3x + 4 - 4 = 61 - 4 \ \Rightarrow\ 3x = 57 \]
\[ \frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19 \]
\[ 3\cdot19 + 4 = 57 + 4 = 61 \checkmark \]

Trying values of x in 3x + 4 = 61

x3x + 4Equals 61?
1755no
1858no
1961yes
2064no
2167no

Questions

What is x in 3x + 4 = 61?

The solution of 3x + 4 = 61 is x = 19.

How do you solve 3x + 4 = 61?

Subtract 4 from both sides to get 3x = 57, then divide both sides by 3 to get x = 19.

How do I check the answer?

Replace x by 19: 3(19) + 4 = 61, which is 61.

Similar equations

    Solve 3x + 4 = 61: x = 19 (steps and check) | WordGPT