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Solve 7x + 11 = 46

The solution of 7x + 11 = 46 is x = 5.

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The lines y = 7x + 11 and y = 46 meet at x = 524681020406080x = 5y = 7x + 11y = 46
The lines y = 7x + 11 and y = 46 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.

    7x+11=467x + 11 = 46
  2. 2

    Subtract 11 from both sides:

    7x+11−11=46−11 ⇒ 7x=357x + 11 - 11 = 46 - 11 \ \Rightarrow\ 7x = 35
  3. 3

    Divide both sides by 7:

    7x7=357 ⇒ x=5\frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    7⋅5+11=35+11=46✓7\cdot5 + 11 = 35 + 11 = 46 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 11 = 46\ \Rightarrow\ x = 5 \]
\[ 7x + 11 = 46 \]
\[ 7x + 11 - 11 = 46 - 11 \ \Rightarrow\ 7x = 35 \]
\[ \frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5 \]
\[ 7\cdot5 + 11 = 35 + 11 = 46 \checkmark \]

Trying values of x in 7x + 11 = 46

x7x + 11Equals 46?
332no
439no
546yes
653no
760no

Questions

What is x in 7x + 11 = 46?

The solution of 7x + 11 = 46 is x = 5.

How do you solve 7x + 11 = 46?

Subtract 11 from both sides to get 7x = 35, then divide both sides by 7 to get x = 5.

How do I check the answer?

Replace x by 5: 7(5) + 11 = 46, which is 46.

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    Solve 7x + 11 = 46: x = 5 (steps and check) | WordGPT