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Solve 4x + 6 = 14

The solution of 4x + 6 = 14 is x = 2.

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The lines y = 4x + 6 and y = 14 meet at x = 2-4-22468-1010203040x = 2y = 4x + 6y = 14
The lines y = 4x + 6 and y = 14 meet at x = 2. 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+6=144x + 6 = 14
  2. 2

    Subtract 6 from both sides:

    4x+6−6=14−6 ⇒ 4x=84x + 6 - 6 = 14 - 6 \ \Rightarrow\ 4x = 8
  3. 3

    Divide both sides by 4:

    4x4=84 ⇒ x=2\frac{4x}{4} = \frac{8}{4} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    4⋅2+6=8+6=14✓4\cdot2 + 6 = 8 + 6 = 14 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 6 = 14\ \Rightarrow\ x = 2 \]
\[ 4x + 6 = 14 \]
\[ 4x + 6 - 6 = 14 - 6 \ \Rightarrow\ 4x = 8 \]
\[ \frac{4x}{4} = \frac{8}{4} \ \Rightarrow\ x = 2 \]
\[ 4\cdot2 + 6 = 8 + 6 = 14 \checkmark \]

Trying values of x in 4x + 6 = 14

x4x + 6Equals 14?
06no
110no
214yes
318no
422no

Questions

What is x in 4x + 6 = 14?

The solution of 4x + 6 = 14 is x = 2.

How do you solve 4x + 6 = 14?

Subtract 6 from both sides to get 4x = 8, then divide both sides by 4 to get x = 2.

How do I check the answer?

Replace x by 2: 4(2) + 6 = 14, which is 14.

Similar equations

    Solve 4x + 6 = 14: x = 2 (steps and check) | WordGPT