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Solve 10x + 12 = 92

The solution of 10x + 12 = 92 is x = 8.

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The lines y = 10x + 12 and y = 92 meet at x = 8246810121420406080100120140160x = 8y = 10x + 12y = 92
The lines y = 10x + 12 and y = 92 meet at x = 8. 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=9210x + 12 = 92
  2. 2

    Subtract 12 from both sides:

    10x+12−12=92−12 ⇒ 10x=8010x + 12 - 12 = 92 - 12 \ \Rightarrow\ 10x = 80
  3. 3

    Divide both sides by 10:

    10x10=8010 ⇒ x=8\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    10⋅8+12=80+12=92✓10\cdot8 + 12 = 80 + 12 = 92 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 12 = 92\ \Rightarrow\ x = 8 \]
\[ 10x + 12 = 92 \]
\[ 10x + 12 - 12 = 92 - 12 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 + 12 = 80 + 12 = 92 \checkmark \]

Trying values of x in 10x + 12 = 92

x10x + 12Equals 92?
672no
782no
892yes
9102no
10112no

Questions

What is x in 10x + 12 = 92?

The solution of 10x + 12 = 92 is x = 8.

How do you solve 10x + 12 = 92?

Subtract 12 from both sides to get 10x = 80, then divide both sides by 10 to get x = 8.

How do I check the answer?

Replace x by 8: 10(8) + 12 = 92, which is 92.

Similar equations

    Solve 10x + 12 = 92: x = 8 (steps and check) | WordGPT