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Solve 6x + 14 = 134

The solution of 6x + 14 = 134 is x = 20.

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The lines y = 6x + 14 and y = 134 meet at x = 2014161820222426100110120130140150160170x = 20y = 6x + 14y = 134
The lines y = 6x + 14 and y = 134 meet at x = 20. 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.

    6x+14=1346x + 14 = 134
  2. 2

    Subtract 14 from both sides:

    6x+14−14=134−14 ⇒ 6x=1206x + 14 - 14 = 134 - 14 \ \Rightarrow\ 6x = 120
  3. 3

    Divide both sides by 6:

    6x6=1206 ⇒ x=20\frac{6x}{6} = \frac{120}{6} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    6⋅20+14=120+14=134✓6\cdot20 + 14 = 120 + 14 = 134 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 14 = 134\ \Rightarrow\ x = 20 \]
\[ 6x + 14 = 134 \]
\[ 6x + 14 - 14 = 134 - 14 \ \Rightarrow\ 6x = 120 \]
\[ \frac{6x}{6} = \frac{120}{6} \ \Rightarrow\ x = 20 \]
\[ 6\cdot20 + 14 = 120 + 14 = 134 \checkmark \]

Trying values of x in 6x + 14 = 134

x6x + 14Equals 134?
18122no
19128no
20134yes
21140no
22146no

Questions

What is x in 6x + 14 = 134?

The solution of 6x + 14 = 134 is x = 20.

How do you solve 6x + 14 = 134?

Subtract 14 from both sides to get 6x = 120, then divide both sides by 6 to get x = 20.

How do I check the answer?

Replace x by 20: 6(20) + 14 = 134, which is 134.

Similar equations

    Solve 6x + 14 = 134: x = 20 (steps and check) | WordGPT