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Solve 4x + 14 = 46

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

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The lines y = 4x + 14 and y = 46 meet at x = 82468101214203040506070x = 8y = 4x + 14y = 46
The lines y = 4x + 14 and y = 46 meet at x = 8. 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.

    4x+14=464x + 14 = 46
  2. 2

    Subtract 14 from both sides:

    4x+14−14=46−14 ⇒ 4x=324x + 14 - 14 = 46 - 14 \ \Rightarrow\ 4x = 32
  3. 3

    Divide both sides by 4:

    4x4=324 ⇒ x=8\frac{4x}{4} = \frac{32}{4} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    4⋅8+14=32+14=46✓4\cdot8 + 14 = 32 + 14 = 46 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 14 = 46\ \Rightarrow\ x = 8 \]
\[ 4x + 14 = 46 \]
\[ 4x + 14 - 14 = 46 - 14 \ \Rightarrow\ 4x = 32 \]
\[ \frac{4x}{4} = \frac{32}{4} \ \Rightarrow\ x = 8 \]
\[ 4\cdot8 + 14 = 32 + 14 = 46 \checkmark \]

Trying values of x in 4x + 14 = 46

x4x + 14Equals 46?
638no
742no
846yes
950no
1054no

Questions

What is x in 4x + 14 = 46?

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

How do you solve 4x + 14 = 46?

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

How do I check the answer?

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

Similar equations

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