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Solve 7x + 2 = 30

The solution of 7x + 2 = 30 is x = 4.

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The lines y = 7x + 2 and y = 30 meet at x = 4-2246810-2020406080x = 4y = 7x + 2y = 30
The lines y = 7x + 2 and y = 30 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.

    7x+2=307x + 2 = 30
  2. 2

    Subtract 2 from both sides:

    7x+2−2=30−2 ⇒ 7x=287x + 2 - 2 = 30 - 2 \ \Rightarrow\ 7x = 28
  3. 3

    Divide both sides by 7:

    7x7=287 ⇒ x=4\frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    7⋅4+2=28+2=30✓7\cdot4 + 2 = 28 + 2 = 30 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 2 = 30\ \Rightarrow\ x = 4 \]
\[ 7x + 2 = 30 \]
\[ 7x + 2 - 2 = 30 - 2 \ \Rightarrow\ 7x = 28 \]
\[ \frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4 \]
\[ 7\cdot4 + 2 = 28 + 2 = 30 \checkmark \]

Trying values of x in 7x + 2 = 30

x7x + 2Equals 30?
216no
323no
430yes
537no
644no

Questions

What is x in 7x + 2 = 30?

The solution of 7x + 2 = 30 is x = 4.

How do you solve 7x + 2 = 30?

Subtract 2 from both sides to get 7x = 28, then divide both sides by 7 to get x = 4.

How do I check the answer?

Replace x by 4: 7(4) + 2 = 30, which is 30.

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    Solve 7x + 2 = 30: x = 4 (steps and check) | WordGPT