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Solve 11x + 10 = 164

The solution of 11x + 10 = 164 is x = 14.

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The lines y = 11x + 10 and y = 164 meet at x = 148101214161820100120140160180200220240x = 14y = 11x + 10y = 164
The lines y = 11x + 10 and y = 164 meet at x = 14. 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.

    11x+10=16411x + 10 = 164
  2. 2

    Subtract 10 from both sides:

    11x+10−10=164−10 ⇒ 11x=15411x + 10 - 10 = 164 - 10 \ \Rightarrow\ 11x = 154
  3. 3

    Divide both sides by 11:

    11x11=15411 ⇒ x=14\frac{11x}{11} = \frac{154}{11} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    11⋅14+10=154+10=164✓11\cdot14 + 10 = 154 + 10 = 164 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 10 = 164\ \Rightarrow\ x = 14 \]
\[ 11x + 10 = 164 \]
\[ 11x + 10 - 10 = 164 - 10 \ \Rightarrow\ 11x = 154 \]
\[ \frac{11x}{11} = \frac{154}{11} \ \Rightarrow\ x = 14 \]
\[ 11\cdot14 + 10 = 154 + 10 = 164 \checkmark \]

Trying values of x in 11x + 10 = 164

x11x + 10Equals 164?
12142no
13153no
14164yes
15175no
16186no

Questions

What is x in 11x + 10 = 164?

The solution of 11x + 10 = 164 is x = 14.

How do you solve 11x + 10 = 164?

Subtract 10 from both sides to get 11x = 154, then divide both sides by 11 to get x = 14.

How do I check the answer?

Replace x by 14: 11(14) + 10 = 164, which is 164.

Similar equations

    Solve 11x + 10 = 164: x = 14 (steps and check) | WordGPT