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Solve 9x + 14 = 158

The solution of 9x + 14 = 158 is x = 16.

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The lines y = 9x + 14 and y = 158 meet at x = 1610121416182022100120140160180200220x = 16y = 9x + 14y = 158
The lines y = 9x + 14 and y = 158 meet at x = 16. 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=1589x + 14 = 158
  2. 2

    Subtract 14 from both sides:

    9x+14−14=158−14 ⇒ 9x=1449x + 14 - 14 = 158 - 14 \ \Rightarrow\ 9x = 144
  3. 3

    Divide both sides by 9:

    9x9=1449 ⇒ x=16\frac{9x}{9} = \frac{144}{9} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    9⋅16+14=144+14=158✓9\cdot16 + 14 = 144 + 14 = 158 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 14 = 158\ \Rightarrow\ x = 16 \]
\[ 9x + 14 = 158 \]
\[ 9x + 14 - 14 = 158 - 14 \ \Rightarrow\ 9x = 144 \]
\[ \frac{9x}{9} = \frac{144}{9} \ \Rightarrow\ x = 16 \]
\[ 9\cdot16 + 14 = 144 + 14 = 158 \checkmark \]

Trying values of x in 9x + 14 = 158

x9x + 14Equals 158?
14140no
15149no
16158yes
17167no
18176no

Questions

What is x in 9x + 14 = 158?

The solution of 9x + 14 = 158 is x = 16.

How do you solve 9x + 14 = 158?

Subtract 14 from both sides to get 9x = 144, then divide both sides by 9 to get x = 16.

How do I check the answer?

Replace x by 16: 9(16) + 14 = 158, which is 158.

Similar equations

    Solve 9x + 14 = 158: x = 16 (steps and check) | WordGPT