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Solve 2x + 6 = 30

The solution of 2x + 6 = 30 is x = 12.

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The lines y = 2x + 6 and y = 30 meet at x = 126810121416182025303540x = 12y = 2x + 6y = 30
The lines y = 2x + 6 and y = 30 meet at x = 12. 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+6=302x + 6 = 30
  2. 2

    Subtract 6 from both sides:

    2x+6−6=30−6 ⇒ 2x=242x + 6 - 6 = 30 - 6 \ \Rightarrow\ 2x = 24
  3. 3

    Divide both sides by 2:

    2x2=242 ⇒ x=12\frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    2⋅12+6=24+6=30✓2\cdot12 + 6 = 24 + 6 = 30 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 6 = 30\ \Rightarrow\ x = 12 \]
\[ 2x + 6 = 30 \]
\[ 2x + 6 - 6 = 30 - 6 \ \Rightarrow\ 2x = 24 \]
\[ \frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12 \]
\[ 2\cdot12 + 6 = 24 + 6 = 30 \checkmark \]

Trying values of x in 2x + 6 = 30

x2x + 6Equals 30?
1026no
1128no
1230yes
1332no
1434no

Questions

What is x in 2x + 6 = 30?

The solution of 2x + 6 = 30 is x = 12.

How do you solve 2x + 6 = 30?

Subtract 6 from both sides to get 2x = 24, then divide both sides by 2 to get x = 12.

How do I check the answer?

Replace x by 12: 2(12) + 6 = 30, which is 30.

Similar equations

    Solve 2x + 6 = 30: x = 12 (steps and check) | WordGPT