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Solve 11x + 10 = 65

The solution of 11x + 10 = 65 is x = 5.

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The lines y = 11x + 10 and y = 65 meet at x = 524681020406080100120140x = 5y = 11x + 10y = 65
The lines y = 11x + 10 and y = 65 meet at x = 5. 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=6511x + 10 = 65
  2. 2

    Subtract 10 from both sides:

    11x+10−10=65−10 ⇒ 11x=5511x + 10 - 10 = 65 - 10 \ \Rightarrow\ 11x = 55
  3. 3

    Divide both sides by 11:

    11x11=5511 ⇒ x=5\frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    11⋅5+10=55+10=65✓11\cdot5 + 10 = 55 + 10 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 10 = 65\ \Rightarrow\ x = 5 \]
\[ 11x + 10 = 65 \]
\[ 11x + 10 - 10 = 65 - 10 \ \Rightarrow\ 11x = 55 \]
\[ \frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5 \]
\[ 11\cdot5 + 10 = 55 + 10 = 65 \checkmark \]

Trying values of x in 11x + 10 = 65

x11x + 10Equals 65?
343no
454no
565yes
676no
787no

Questions

What is x in 11x + 10 = 65?

The solution of 11x + 10 = 65 is x = 5.

How do you solve 11x + 10 = 65?

Subtract 10 from both sides to get 11x = 55, then divide both sides by 11 to get x = 5.

How do I check the answer?

Replace x by 5: 11(5) + 10 = 65, which is 65.

Similar equations

    Solve 11x + 10 = 65: x = 5 (steps and check) | WordGPT