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Solve 2x + 10 = 22

The solution of 2x + 10 = 22 is x = 6.

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The lines y = 2x + 10 and y = 22 meet at x = 624681012101520253035x = 6y = 2x + 10y = 22
The lines y = 2x + 10 and y = 22 meet at x = 6. 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=222x + 10 = 22
  2. 2

    Subtract 10 from both sides:

    2x+10−10=22−10 ⇒ 2x=122x + 10 - 10 = 22 - 10 \ \Rightarrow\ 2x = 12
  3. 3

    Divide both sides by 2:

    2x2=122 ⇒ x=6\frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    2⋅6+10=12+10=22✓2\cdot6 + 10 = 12 + 10 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 10 = 22\ \Rightarrow\ x = 6 \]
\[ 2x + 10 = 22 \]
\[ 2x + 10 - 10 = 22 - 10 \ \Rightarrow\ 2x = 12 \]
\[ \frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6 \]
\[ 2\cdot6 + 10 = 12 + 10 = 22 \checkmark \]

Trying values of x in 2x + 10 = 22

x2x + 10Equals 22?
418no
520no
622yes
724no
826no

Questions

What is x in 2x + 10 = 22?

The solution of 2x + 10 = 22 is x = 6.

How do you solve 2x + 10 = 22?

Subtract 10 from both sides to get 2x = 12, then divide both sides by 2 to get x = 6.

How do I check the answer?

Replace x by 6: 2(6) + 10 = 22, which is 22.

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    Solve 2x + 10 = 22: x = 6 (steps and check) | WordGPT