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Solve 3x + 8 = 2

The solution of 3x + 8 = 2 is x = -2.

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The lines y = 3x + 8 and y = 2 meet at x = -2-8-6-4-224-15-10-55101520x = -2y = 3x + 8y = 2
The lines y = 3x + 8 and y = 2 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.

    3x+8=23x + 8 = 2
  2. 2

    Subtract 8 from both sides:

    3x+8−8=2−8 ⇒ 3x=−63x + 8 - 8 = 2 - 8 \ \Rightarrow\ 3x = -6
  3. 3

    Divide both sides by 3:

    3x3=−63 ⇒ x=−2\frac{3x}{3} = \frac{-6}{3} \ \Rightarrow\ x = -2
  4. 4

    Check: put x = -2 back into the equation.

    3⋅(−2)+8=−6+8=2✓3\cdot(-2) + 8 = -6 + 8 = 2 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 8 = 2\ \Rightarrow\ x = -2 \]
\[ 3x + 8 = 2 \]
\[ 3x + 8 - 8 = 2 - 8 \ \Rightarrow\ 3x = -6 \]
\[ \frac{3x}{3} = \frac{-6}{3} \ \Rightarrow\ x = -2 \]
\[ 3\cdot(-2) + 8 = -6 + 8 = 2 \checkmark \]

Trying values of x in 3x + 8 = 2

x3x + 8Equals 2?
-4-4no
-3-1no
-22yes
-15no
08no

Questions

What is x in 3x + 8 = 2?

The solution of 3x + 8 = 2 is x = -2.

How do you solve 3x + 8 = 2?

Subtract 8 from both sides to get 3x = -6, then divide both sides by 3 to get x = -2.

How do I check the answer?

Replace x by -2: 3(-2) + 8 = 2, which is 2.

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