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Solve 6x + 14 = 8

The solution of 6x + 14 = 8 is x = -1.

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The lines y = 6x + 14 and y = 8 meet at x = -1-6-4-224-30-20-101020304050x = -1y = 6x + 14y = 8
The lines y = 6x + 14 and y = 8 meet at x = -1. 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.

    6x+14=86x + 14 = 8
  2. 2

    Subtract 14 from both sides:

    6x+14−14=8−14 ⇒ 6x=−66x + 14 - 14 = 8 - 14 \ \Rightarrow\ 6x = -6
  3. 3

    Divide both sides by 6:

    6x6=−66 ⇒ x=−1\frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    6⋅(−1)+14=−6+14=8✓6\cdot(-1) + 14 = -6 + 14 = 8 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 14 = 8\ \Rightarrow\ x = -1 \]
\[ 6x + 14 = 8 \]
\[ 6x + 14 - 14 = 8 - 14 \ \Rightarrow\ 6x = -6 \]
\[ \frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1 \]
\[ 6\cdot(-1) + 14 = -6 + 14 = 8 \checkmark \]

Trying values of x in 6x + 14 = 8

x6x + 14Equals 8?
-3-4no
-22no
-18yes
014no
120no

Questions

What is x in 6x + 14 = 8?

The solution of 6x + 14 = 8 is x = -1.

How do you solve 6x + 14 = 8?

Subtract 14 from both sides to get 6x = -6, then divide both sides by 6 to get x = -1.

How do I check the answer?

Replace x by -1: 6(-1) + 14 = 8, which is 8.

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    Solve 6x + 14 = 8: x = -1 (steps and check) | WordGPT