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Solve 8x + 14 = 174

The solution of 8x + 14 = 174 is x = 20.

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The lines y = 8x + 14 and y = 174 meet at x = 2014161820222426120140160180200220x = 20y = 8x + 14y = 174
The lines y = 8x + 14 and y = 174 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.

    8x+14=1748x + 14 = 174
  2. 2

    Subtract 14 from both sides:

    8x+14−14=174−14 ⇒ 8x=1608x + 14 - 14 = 174 - 14 \ \Rightarrow\ 8x = 160
  3. 3

    Divide both sides by 8:

    8x8=1608 ⇒ x=20\frac{8x}{8} = \frac{160}{8} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    8⋅20+14=160+14=174✓8\cdot20 + 14 = 160 + 14 = 174 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 14 = 174\ \Rightarrow\ x = 20 \]
\[ 8x + 14 = 174 \]
\[ 8x + 14 - 14 = 174 - 14 \ \Rightarrow\ 8x = 160 \]
\[ \frac{8x}{8} = \frac{160}{8} \ \Rightarrow\ x = 20 \]
\[ 8\cdot20 + 14 = 160 + 14 = 174 \checkmark \]

Trying values of x in 8x + 14 = 174

x8x + 14Equals 174?
18158no
19166no
20174yes
21182no
22190no

Questions

What is x in 8x + 14 = 174?

The solution of 8x + 14 = 174 is x = 20.

How do you solve 8x + 14 = 174?

Subtract 14 from both sides to get 8x = 160, then divide both sides by 8 to get x = 20.

How do I check the answer?

Replace x by 20: 8(20) + 14 = 174, which is 174.

Similar equations

    Solve 8x + 14 = 174: x = 20 (steps and check) | WordGPT