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Solve 8x + 14 = 126

The solution of 8x + 14 = 126 is x = 14.

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The lines y = 8x + 14 and y = 126 meet at x = 14810121416182080100120140160180x = 14y = 8x + 14y = 126
The lines y = 8x + 14 and y = 126 meet at x = 14. 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.

    8x+14=1268x + 14 = 126
  2. 2

    Subtract 14 from both sides:

    8x+14−14=126−14 ⇒ 8x=1128x + 14 - 14 = 126 - 14 \ \Rightarrow\ 8x = 112
  3. 3

    Divide both sides by 8:

    8x8=1128 ⇒ x=14\frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    8⋅14+14=112+14=126✓8\cdot14 + 14 = 112 + 14 = 126 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 14 = 126\ \Rightarrow\ x = 14 \]
\[ 8x + 14 = 126 \]
\[ 8x + 14 - 14 = 126 - 14 \ \Rightarrow\ 8x = 112 \]
\[ \frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14 \]
\[ 8\cdot14 + 14 = 112 + 14 = 126 \checkmark \]

Trying values of x in 8x + 14 = 126

x8x + 14Equals 126?
12110no
13118no
14126yes
15134no
16142no

Questions

What is x in 8x + 14 = 126?

The solution of 8x + 14 = 126 is x = 14.

How do you solve 8x + 14 = 126?

Subtract 14 from both sides to get 8x = 112, then divide both sides by 8 to get x = 14.

How do I check the answer?

Replace x by 14: 8(14) + 14 = 126, which is 126.

Similar equations

    Solve 8x + 14 = 126: x = 14 (steps and check) | WordGPT