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Solve 11x + 10 = 76

The solution of 11x + 10 = 76 is x = 6.

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The lines y = 11x + 10 and y = 76 meet at x = 62468101220406080100120140x = 6y = 11x + 10y = 76
The lines y = 11x + 10 and y = 76 meet at x = 6. 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=7611x + 10 = 76
  2. 2

    Subtract 10 from both sides:

    11x+10−10=76−10 ⇒ 11x=6611x + 10 - 10 = 76 - 10 \ \Rightarrow\ 11x = 66
  3. 3

    Divide both sides by 11:

    11x11=6611 ⇒ x=6\frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    11⋅6+10=66+10=76✓11\cdot6 + 10 = 66 + 10 = 76 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 10 = 76\ \Rightarrow\ x = 6 \]
\[ 11x + 10 = 76 \]
\[ 11x + 10 - 10 = 76 - 10 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 + 10 = 66 + 10 = 76 \checkmark \]

Trying values of x in 11x + 10 = 76

x11x + 10Equals 76?
454no
565no
676yes
787no
898no

Questions

What is x in 11x + 10 = 76?

The solution of 11x + 10 = 76 is x = 6.

How do you solve 11x + 10 = 76?

Subtract 10 from both sides to get 11x = 66, then divide both sides by 11 to get x = 6.

How do I check the answer?

Replace x by 6: 11(6) + 10 = 76, which is 76.

Similar equations

    Solve 11x + 10 = 76: x = 6 (steps and check) | WordGPT