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Solve 7x + 12 = 103

The solution of 7x + 12 = 103 is x = 13.

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The lines y = 7x + 12 and y = 103 meet at x = 13810121416186080100120140x = 13y = 7x + 12y = 103
The lines y = 7x + 12 and y = 103 meet at x = 13. 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=1037x + 12 = 103
  2. 2

    Subtract 12 from both sides:

    7x+12−12=103−12 ⇒ 7x=917x + 12 - 12 = 103 - 12 \ \Rightarrow\ 7x = 91
  3. 3

    Divide both sides by 7:

    7x7=917 ⇒ x=13\frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    7⋅13+12=91+12=103✓7\cdot13 + 12 = 91 + 12 = 103 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 12 = 103\ \Rightarrow\ x = 13 \]
\[ 7x + 12 = 103 \]
\[ 7x + 12 - 12 = 103 - 12 \ \Rightarrow\ 7x = 91 \]
\[ \frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13 \]
\[ 7\cdot13 + 12 = 91 + 12 = 103 \checkmark \]

Trying values of x in 7x + 12 = 103

x7x + 12Equals 103?
1189no
1296no
13103yes
14110no
15117no

Questions

What is x in 7x + 12 = 103?

The solution of 7x + 12 = 103 is x = 13.

How do you solve 7x + 12 = 103?

Subtract 12 from both sides to get 7x = 91, then divide both sides by 7 to get x = 13.

How do I check the answer?

Replace x by 13: 7(13) + 12 = 103, which is 103.

Similar equations

    Solve 7x + 12 = 103: x = 13 (steps and check) | WordGPT