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Solve 4x + 15 = 71

The solution of 4x + 15 = 71 is x = 14.

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The lines y = 4x + 15 and y = 71 meet at x = 1481012141618205060708090100x = 14y = 4x + 15y = 71
The lines y = 4x + 15 and y = 71 meet at x = 14. 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+15=714x + 15 = 71
  2. 2

    Subtract 15 from both sides:

    4x+15−15=71−15 ⇒ 4x=564x + 15 - 15 = 71 - 15 \ \Rightarrow\ 4x = 56
  3. 3

    Divide both sides by 4:

    4x4=564 ⇒ x=14\frac{4x}{4} = \frac{56}{4} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    4⋅14+15=56+15=71✓4\cdot14 + 15 = 56 + 15 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 15 = 71\ \Rightarrow\ x = 14 \]
\[ 4x + 15 = 71 \]
\[ 4x + 15 - 15 = 71 - 15 \ \Rightarrow\ 4x = 56 \]
\[ \frac{4x}{4} = \frac{56}{4} \ \Rightarrow\ x = 14 \]
\[ 4\cdot14 + 15 = 56 + 15 = 71 \checkmark \]

Trying values of x in 4x + 15 = 71

x4x + 15Equals 71?
1263no
1367no
1471yes
1575no
1679no

Questions

What is x in 4x + 15 = 71?

The solution of 4x + 15 = 71 is x = 14.

How do you solve 4x + 15 = 71?

Subtract 15 from both sides to get 4x = 56, then divide both sides by 4 to get x = 14.

How do I check the answer?

Replace x by 14: 4(14) + 15 = 71, which is 71.

Similar equations

    Solve 4x + 15 = 71: x = 14 (steps and check) | WordGPT