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Solve 2x + 7 = 19

The solution of 2x + 7 = 19 is x = 6.

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The lines y = 2x + 7 and y = 19 meet at x = 62468101251015202530x = 6y = 2x + 7y = 19
The lines y = 2x + 7 and y = 19 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+7=192x + 7 = 19
  2. 2

    Subtract 7 from both sides:

    2x+7−7=19−7 ⇒ 2x=122x + 7 - 7 = 19 - 7 \ \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+7=12+7=19✓2\cdot6 + 7 = 12 + 7 = 19 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 7 = 19\ \Rightarrow\ x = 6 \]
\[ 2x + 7 = 19 \]
\[ 2x + 7 - 7 = 19 - 7 \ \Rightarrow\ 2x = 12 \]
\[ \frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6 \]
\[ 2\cdot6 + 7 = 12 + 7 = 19 \checkmark \]

Trying values of x in 2x + 7 = 19

x2x + 7Equals 19?
415no
517no
619yes
721no
823no

Questions

What is x in 2x + 7 = 19?

The solution of 2x + 7 = 19 is x = 6.

How do you solve 2x + 7 = 19?

Subtract 7 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) + 7 = 19, which is 19.

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    Solve 2x + 7 = 19: x = 6 (steps and check) | WordGPT