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Solve 11x + 4 = 213

The solution of 11x + 4 = 213 is x = 19.

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The lines y = 11x + 4 and y = 213 meet at x = 19141618202224140160180200220240260280x = 19y = 11x + 4y = 213
The lines y = 11x + 4 and y = 213 meet at x = 19. 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+4=21311x + 4 = 213
  2. 2

    Subtract 4 from both sides:

    11x+4−4=213−4 ⇒ 11x=20911x + 4 - 4 = 213 - 4 \ \Rightarrow\ 11x = 209
  3. 3

    Divide both sides by 11:

    11x11=20911 ⇒ x=19\frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    11⋅19+4=209+4=213✓11\cdot19 + 4 = 209 + 4 = 213 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 4 = 213\ \Rightarrow\ x = 19 \]
\[ 11x + 4 = 213 \]
\[ 11x + 4 - 4 = 213 - 4 \ \Rightarrow\ 11x = 209 \]
\[ \frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19 \]
\[ 11\cdot19 + 4 = 209 + 4 = 213 \checkmark \]

Trying values of x in 11x + 4 = 213

x11x + 4Equals 213?
17191no
18202no
19213yes
20224no
21235no

Questions

What is x in 11x + 4 = 213?

The solution of 11x + 4 = 213 is x = 19.

How do you solve 11x + 4 = 213?

Subtract 4 from both sides to get 11x = 209, then divide both sides by 11 to get x = 19.

How do I check the answer?

Replace x by 19: 11(19) + 4 = 213, which is 213.

Similar equations

    Solve 11x + 4 = 213: x = 19 (steps and check) | WordGPT