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Solve 3x + 10 = 22

The solution of 3x + 10 = 22 is x = 4.

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The lines y = 3x + 10 and y = 22 meet at x = 4-2246810510152025303540x = 4y = 3x + 10y = 22
The lines y = 3x + 10 and y = 22 meet at x = 4. 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+10=223x + 10 = 22
  2. 2

    Subtract 10 from both sides:

    3x+10−10=22−10 ⇒ 3x=123x + 10 - 10 = 22 - 10 \ \Rightarrow\ 3x = 12
  3. 3

    Divide both sides by 3:

    3x3=123 ⇒ x=4\frac{3x}{3} = \frac{12}{3} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    3⋅4+10=12+10=22✓3\cdot4 + 10 = 12 + 10 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 10 = 22\ \Rightarrow\ x = 4 \]
\[ 3x + 10 = 22 \]
\[ 3x + 10 - 10 = 22 - 10 \ \Rightarrow\ 3x = 12 \]
\[ \frac{3x}{3} = \frac{12}{3} \ \Rightarrow\ x = 4 \]
\[ 3\cdot4 + 10 = 12 + 10 = 22 \checkmark \]

Trying values of x in 3x + 10 = 22

x3x + 10Equals 22?
216no
319no
422yes
525no
628no

Questions

What is x in 3x + 10 = 22?

The solution of 3x + 10 = 22 is x = 4.

How do you solve 3x + 10 = 22?

Subtract 10 from both sides to get 3x = 12, then divide both sides by 3 to get x = 4.

How do I check the answer?

Replace x by 4: 3(4) + 10 = 22, which is 22.

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    Solve 3x + 10 = 22: x = 4 (steps and check) | WordGPT