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Solve 11x + 7 = 51

The solution of 11x + 7 = 51 is x = 4.

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The lines y = 11x + 7 and y = 51 meet at x = 4-2246810-2020406080100120x = 4y = 11x + 7y = 51
The lines y = 11x + 7 and y = 51 meet at x = 4. 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+7=5111x + 7 = 51
  2. 2

    Subtract 7 from both sides:

    11x+7−7=51−7 ⇒ 11x=4411x + 7 - 7 = 51 - 7 \ \Rightarrow\ 11x = 44
  3. 3

    Divide both sides by 11:

    11x11=4411 ⇒ x=4\frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    11⋅4+7=44+7=51✓11\cdot4 + 7 = 44 + 7 = 51 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 7 = 51\ \Rightarrow\ x = 4 \]
\[ 11x + 7 = 51 \]
\[ 11x + 7 - 7 = 51 - 7 \ \Rightarrow\ 11x = 44 \]
\[ \frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4 \]
\[ 11\cdot4 + 7 = 44 + 7 = 51 \checkmark \]

Trying values of x in 11x + 7 = 51

x11x + 7Equals 51?
229no
340no
451yes
562no
673no

Questions

What is x in 11x + 7 = 51?

The solution of 11x + 7 = 51 is x = 4.

How do you solve 11x + 7 = 51?

Subtract 7 from both sides to get 11x = 44, then divide both sides by 11 to get x = 4.

How do I check the answer?

Replace x by 4: 11(4) + 7 = 51, which is 51.

Similar equations

    Solve 11x + 7 = 51: x = 4 (steps and check) | WordGPT