WordGPT

Solve 7x + 2 = 51

The solution of 7x + 2 = 51 is x = 7.

Explain it step by step in chatMake a short video of it
The lines y = 7x + 2 and y = 51 meet at x = 72468101220406080100x = 7y = 7x + 2y = 51
The lines y = 7x + 2 and y = 51 meet at x = 7. 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=517x + 2 = 51
  2. 2

    Subtract 2 from both sides:

    7x+2−2=51−2 ⇒ 7x=497x + 2 - 2 = 51 - 2 \ \Rightarrow\ 7x = 49
  3. 3

    Divide both sides by 7:

    7x7=497 ⇒ x=7\frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    7⋅7+2=49+2=51✓7\cdot7 + 2 = 49 + 2 = 51 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 2 = 51\ \Rightarrow\ x = 7 \]
\[ 7x + 2 = 51 \]
\[ 7x + 2 - 2 = 51 - 2 \ \Rightarrow\ 7x = 49 \]
\[ \frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7 \]
\[ 7\cdot7 + 2 = 49 + 2 = 51 \checkmark \]

Trying values of x in 7x + 2 = 51

x7x + 2Equals 51?
537no
644no
751yes
858no
965no

Questions

What is x in 7x + 2 = 51?

The solution of 7x + 2 = 51 is x = 7.

How do you solve 7x + 2 = 51?

Subtract 2 from both sides to get 7x = 49, then divide both sides by 7 to get x = 7.

How do I check the answer?

Replace x by 7: 7(7) + 2 = 51, which is 51.

Similar equations

    Solve 7x + 2 = 51: x = 7 (steps and check) | WordGPT