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Solve 7x + 12 = 117

The solution of 7x + 12 = 117 is x = 15.

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The lines y = 7x + 12 and y = 117 meet at x = 1510121416182080100120140160x = 15y = 7x + 12y = 117
The lines y = 7x + 12 and y = 117 meet at x = 15. 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.

    7x+12=1177x + 12 = 117
  2. 2

    Subtract 12 from both sides:

    7x+12−12=117−12 ⇒ 7x=1057x + 12 - 12 = 117 - 12 \ \Rightarrow\ 7x = 105
  3. 3

    Divide both sides by 7:

    7x7=1057 ⇒ x=15\frac{7x}{7} = \frac{105}{7} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    7⋅15+12=105+12=117✓7\cdot15 + 12 = 105 + 12 = 117 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 12 = 117\ \Rightarrow\ x = 15 \]
\[ 7x + 12 = 117 \]
\[ 7x + 12 - 12 = 117 - 12 \ \Rightarrow\ 7x = 105 \]
\[ \frac{7x}{7} = \frac{105}{7} \ \Rightarrow\ x = 15 \]
\[ 7\cdot15 + 12 = 105 + 12 = 117 \checkmark \]

Trying values of x in 7x + 12 = 117

x7x + 12Equals 117?
13103no
14110no
15117yes
16124no
17131no

Questions

What is x in 7x + 12 = 117?

The solution of 7x + 12 = 117 is x = 15.

How do you solve 7x + 12 = 117?

Subtract 12 from both sides to get 7x = 105, then divide both sides by 7 to get x = 15.

How do I check the answer?

Replace x by 15: 7(15) + 12 = 117, which is 117.

Similar equations

    Solve 7x + 12 = 117: x = 15 (steps and check) | WordGPT