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Solve 11x + 14 = 157

The solution of 11x + 14 = 157 is x = 13.

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The lines y = 11x + 14 and y = 157 meet at x = 138101214161880100120140160180200220x = 13y = 11x + 14y = 157
The lines y = 11x + 14 and y = 157 meet at x = 13. 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+14=15711x + 14 = 157
  2. 2

    Subtract 14 from both sides:

    11x+14−14=157−14 ⇒ 11x=14311x + 14 - 14 = 157 - 14 \ \Rightarrow\ 11x = 143
  3. 3

    Divide both sides by 11:

    11x11=14311 ⇒ x=13\frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    11⋅13+14=143+14=157✓11\cdot13 + 14 = 143 + 14 = 157 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 14 = 157\ \Rightarrow\ x = 13 \]
\[ 11x + 14 = 157 \]
\[ 11x + 14 - 14 = 157 - 14 \ \Rightarrow\ 11x = 143 \]
\[ \frac{11x}{11} = \frac{143}{11} \ \Rightarrow\ x = 13 \]
\[ 11\cdot13 + 14 = 143 + 14 = 157 \checkmark \]

Trying values of x in 11x + 14 = 157

x11x + 14Equals 157?
11135no
12146no
13157yes
14168no
15179no

Questions

What is x in 11x + 14 = 157?

The solution of 11x + 14 = 157 is x = 13.

How do you solve 11x + 14 = 157?

Subtract 14 from both sides to get 11x = 143, then divide both sides by 11 to get x = 13.

How do I check the answer?

Replace x by 13: 11(13) + 14 = 157, which is 157.

Similar equations

    Solve 11x + 14 = 157: x = 13 (steps and check) | WordGPT