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Solve 10x + 12 = 122

The solution of 10x + 12 = 122 is x = 11.

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The lines y = 10x + 12 and y = 122 meet at x = 1168101214166080100120140160180x = 11y = 10x + 12y = 122
The lines y = 10x + 12 and y = 122 meet at x = 11. 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.

    10x+12=12210x + 12 = 122
  2. 2

    Subtract 12 from both sides:

    10x+12−12=122−12 ⇒ 10x=11010x + 12 - 12 = 122 - 12 \ \Rightarrow\ 10x = 110
  3. 3

    Divide both sides by 10:

    10x10=11010 ⇒ x=11\frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    10⋅11+12=110+12=122✓10\cdot11 + 12 = 110 + 12 = 122 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 12 = 122\ \Rightarrow\ x = 11 \]
\[ 10x + 12 = 122 \]
\[ 10x + 12 - 12 = 122 - 12 \ \Rightarrow\ 10x = 110 \]
\[ \frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11 \]
\[ 10\cdot11 + 12 = 110 + 12 = 122 \checkmark \]

Trying values of x in 10x + 12 = 122

x10x + 12Equals 122?
9102no
10112no
11122yes
12132no
13142no

Questions

What is x in 10x + 12 = 122?

The solution of 10x + 12 = 122 is x = 11.

How do you solve 10x + 12 = 122?

Subtract 12 from both sides to get 10x = 110, then divide both sides by 10 to get x = 11.

How do I check the answer?

Replace x by 11: 10(11) + 12 = 122, which is 122.

Similar equations

    Solve 10x + 12 = 122: x = 11 (steps and check) | WordGPT