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Solve 2x + 8 = 28

The solution of 2x + 8 = 28 is x = 10.

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The lines y = 2x + 8 and y = 28 meet at x = 1046810121416152025303540x = 10y = 2x + 8y = 28
The lines y = 2x + 8 and y = 28 meet at x = 10. 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=282x + 8 = 28
  2. 2

    Subtract 8 from both sides:

    2x+8−8=28−8 ⇒ 2x=202x + 8 - 8 = 28 - 8 \ \Rightarrow\ 2x = 20
  3. 3

    Divide both sides by 2:

    2x2=202 ⇒ x=10\frac{2x}{2} = \frac{20}{2} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    2⋅10+8=20+8=28✓2\cdot10 + 8 = 20 + 8 = 28 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 8 = 28\ \Rightarrow\ x = 10 \]
\[ 2x + 8 = 28 \]
\[ 2x + 8 - 8 = 28 - 8 \ \Rightarrow\ 2x = 20 \]
\[ \frac{2x}{2} = \frac{20}{2} \ \Rightarrow\ x = 10 \]
\[ 2\cdot10 + 8 = 20 + 8 = 28 \checkmark \]

Trying values of x in 2x + 8 = 28

x2x + 8Equals 28?
824no
926no
1028yes
1130no
1232no

Questions

What is x in 2x + 8 = 28?

The solution of 2x + 8 = 28 is x = 10.

How do you solve 2x + 8 = 28?

Subtract 8 from both sides to get 2x = 20, then divide both sides by 2 to get x = 10.

How do I check the answer?

Replace x by 10: 2(10) + 8 = 28, which is 28.

Similar equations

    Solve 2x + 8 = 28: x = 10 (steps and check) | WordGPT