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Solve 2x + 8 = 2

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

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The lines y = 2x + 8 and y = 2 meet at x = -3-8-6-4-22-10-551015x = -3y = 2x + 8y = 2
The lines y = 2x + 8 and y = 2 meet at x = -3. 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.

    2x+8=22x + 8 = 2
  2. 2

    Subtract 8 from both sides:

    2x+8−8=2−8 ⇒ 2x=−62x + 8 - 8 = 2 - 8 \ \Rightarrow\ 2x = -6
  3. 3

    Divide both sides by 2:

    2x2=−62 ⇒ x=−3\frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3
  4. 4

    Check: put x = -3 back into the equation.

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

Trying values of x in 2x + 8 = 2

x2x + 8Equals 2?
-5-2no
-40no
-32yes
-24no
-16no

Questions

What is x in 2x + 8 = 2?

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

How do you solve 2x + 8 = 2?

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

How do I check the answer?

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

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    Solve 2x + 8 = 2: x = -3 (steps and check) | WordGPT