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Solve 8x + 14 = 46

The solution of 8x + 14 = 46 is x = 4.

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The lines y = 8x + 14 and y = 46 meet at x = 4-224681020406080100x = 4y = 8x + 14y = 46
The lines y = 8x + 14 and y = 46 meet at x = 4. 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=468x + 14 = 46
  2. 2

    Subtract 14 from both sides:

    8x+14−14=46−14 ⇒ 8x=328x + 14 - 14 = 46 - 14 \ \Rightarrow\ 8x = 32
  3. 3

    Divide both sides by 8:

    8x8=328 ⇒ x=4\frac{8x}{8} = \frac{32}{8} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    8⋅4+14=32+14=46✓8\cdot4 + 14 = 32 + 14 = 46 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 14 = 46\ \Rightarrow\ x = 4 \]
\[ 8x + 14 = 46 \]
\[ 8x + 14 - 14 = 46 - 14 \ \Rightarrow\ 8x = 32 \]
\[ \frac{8x}{8} = \frac{32}{8} \ \Rightarrow\ x = 4 \]
\[ 8\cdot4 + 14 = 32 + 14 = 46 \checkmark \]

Trying values of x in 8x + 14 = 46

x8x + 14Equals 46?
230no
338no
446yes
554no
662no

Questions

What is x in 8x + 14 = 46?

The solution of 8x + 14 = 46 is x = 4.

How do you solve 8x + 14 = 46?

Subtract 14 from both sides to get 8x = 32, then divide both sides by 8 to get x = 4.

How do I check the answer?

Replace x by 4: 8(4) + 14 = 46, which is 46.

Similar equations

    Solve 8x + 14 = 46: x = 4 (steps and check) | WordGPT