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Solve 12x + 15 = 87

The solution of 12x + 15 = 87 is x = 6.

The lines y = 12x + 15 and y = 87 meet at x = 62468101220406080100120140160x = 6y = 12x + 15y = 87
The lines y = 12x + 15 and y = 87 meet at x = 6. 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.

    12x+15=8712x + 15 = 87
  2. 2

    Subtract 15 from both sides:

    12x+15−15=87−15 ⇒ 12x=7212x + 15 - 15 = 87 - 15 \ \Rightarrow\ 12x = 72
  3. 3

    Divide both sides by 12:

    12x12=7212 ⇒ x=6\frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    12⋅6+15=72+15=87✓12\cdot6 + 15 = 72 + 15 = 87 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 15 = 87\ \Rightarrow\ x = 6 \]
\[ 12x + 15 = 87 \]
\[ 12x + 15 - 15 = 87 - 15 \ \Rightarrow\ 12x = 72 \]
\[ \frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6 \]
\[ 12\cdot6 + 15 = 72 + 15 = 87 \checkmark \]

Trying values of x in 12x + 15 = 87

x12x + 15Equals 87?
463no
575no
687yes
799no
8111no

Questions

What is x in 12x + 15 = 87?

The solution of 12x + 15 = 87 is x = 6.

How do you solve 12x + 15 = 87?

Subtract 15 from both sides to get 12x = 72, then divide both sides by 12 to get x = 6.

How do I check the answer?

Replace x by 6: 12(6) + 15 = 87, which is 87.

Similar equations

    Solve 12x + 15 = 87: x = 6 (steps and check) | WordGPT