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Solve 2x + 10 = 28

The solution of 2x + 10 = 28 is x = 9.

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The lines y = 2x + 10 and y = 28 meet at x = 9468101214152025303540x = 9y = 2x + 10y = 28
The lines y = 2x + 10 and y = 28 meet at x = 9. 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+10=282x + 10 = 28
  2. 2

    Subtract 10 from both sides:

    2x+10−10=28−10 ⇒ 2x=182x + 10 - 10 = 28 - 10 \ \Rightarrow\ 2x = 18
  3. 3

    Divide both sides by 2:

    2x2=182 ⇒ x=9\frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    2⋅9+10=18+10=28✓2\cdot9 + 10 = 18 + 10 = 28 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 10 = 28\ \Rightarrow\ x = 9 \]
\[ 2x + 10 = 28 \]
\[ 2x + 10 - 10 = 28 - 10 \ \Rightarrow\ 2x = 18 \]
\[ \frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9 \]
\[ 2\cdot9 + 10 = 18 + 10 = 28 \checkmark \]

Trying values of x in 2x + 10 = 28

x2x + 10Equals 28?
724no
826no
928yes
1030no
1132no

Questions

What is x in 2x + 10 = 28?

The solution of 2x + 10 = 28 is x = 9.

How do you solve 2x + 10 = 28?

Subtract 10 from both sides to get 2x = 18, then divide both sides by 2 to get x = 9.

How do I check the answer?

Replace x by 9: 2(9) + 10 = 28, which is 28.

Similar equations

    Solve 2x + 10 = 28: x = 9 (steps and check) | WordGPT