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Solve 4x + 13 = 61

The solution of 4x + 13 = 61 is x = 12.

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The lines y = 4x + 13 and y = 61 meet at x = 12681012141618405060708090x = 12y = 4x + 13y = 61
The lines y = 4x + 13 and y = 61 meet at x = 12. 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.

    4x+13=614x + 13 = 61
  2. 2

    Subtract 13 from both sides:

    4x+13−13=61−13 ⇒ 4x=484x + 13 - 13 = 61 - 13 \ \Rightarrow\ 4x = 48
  3. 3

    Divide both sides by 4:

    4x4=484 ⇒ x=12\frac{4x}{4} = \frac{48}{4} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    4⋅12+13=48+13=61✓4\cdot12 + 13 = 48 + 13 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 13 = 61\ \Rightarrow\ x = 12 \]
\[ 4x + 13 = 61 \]
\[ 4x + 13 - 13 = 61 - 13 \ \Rightarrow\ 4x = 48 \]
\[ \frac{4x}{4} = \frac{48}{4} \ \Rightarrow\ x = 12 \]
\[ 4\cdot12 + 13 = 48 + 13 = 61 \checkmark \]

Trying values of x in 4x + 13 = 61

x4x + 13Equals 61?
1053no
1157no
1261yes
1365no
1469no

Questions

What is x in 4x + 13 = 61?

The solution of 4x + 13 = 61 is x = 12.

How do you solve 4x + 13 = 61?

Subtract 13 from both sides to get 4x = 48, then divide both sides by 4 to get x = 12.

How do I check the answer?

Replace x by 12: 4(12) + 13 = 61, which is 61.

Similar equations

    Solve 4x + 13 = 61: x = 12 (steps and check) | WordGPT