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Solve 9x + 14 = 167

The solution of 9x + 14 = 167 is x = 17.

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The lines y = 9x + 14 and y = 167 meet at x = 17121416182022120140160180200220x = 17y = 9x + 14y = 167
The lines y = 9x + 14 and y = 167 meet at x = 17. 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.

    9x+14=1679x + 14 = 167
  2. 2

    Subtract 14 from both sides:

    9x+14−14=167−14 ⇒ 9x=1539x + 14 - 14 = 167 - 14 \ \Rightarrow\ 9x = 153
  3. 3

    Divide both sides by 9:

    9x9=1539 ⇒ x=17\frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    9⋅17+14=153+14=167✓9\cdot17 + 14 = 153 + 14 = 167 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 14 = 167\ \Rightarrow\ x = 17 \]
\[ 9x + 14 = 167 \]
\[ 9x + 14 - 14 = 167 - 14 \ \Rightarrow\ 9x = 153 \]
\[ \frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17 \]
\[ 9\cdot17 + 14 = 153 + 14 = 167 \checkmark \]

Trying values of x in 9x + 14 = 167

x9x + 14Equals 167?
15149no
16158no
17167yes
18176no
19185no

Questions

What is x in 9x + 14 = 167?

The solution of 9x + 14 = 167 is x = 17.

How do you solve 9x + 14 = 167?

Subtract 14 from both sides to get 9x = 153, then divide both sides by 9 to get x = 17.

How do I check the answer?

Replace x by 17: 9(17) + 14 = 167, which is 167.

Similar equations

    Solve 9x + 14 = 167: x = 17 (steps and check) | WordGPT