WordGPT

Solve 7x + 11 = 74

The solution of 7x + 11 = 74 is x = 9.

Explain it step by step in chatMake a short video of it
The lines y = 7x + 11 and y = 74 meet at x = 9468101214406080100120x = 9y = 7x + 11y = 74
The lines y = 7x + 11 and y = 74 meet at x = 9. 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+11=747x + 11 = 74
  2. 2

    Subtract 11 from both sides:

    7x+11−11=74−11 ⇒ 7x=637x + 11 - 11 = 74 - 11 \ \Rightarrow\ 7x = 63
  3. 3

    Divide both sides by 7:

    7x7=637 ⇒ x=9\frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    7⋅9+11=63+11=74✓7\cdot9 + 11 = 63 + 11 = 74 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 11 = 74\ \Rightarrow\ x = 9 \]
\[ 7x + 11 = 74 \]
\[ 7x + 11 - 11 = 74 - 11 \ \Rightarrow\ 7x = 63 \]
\[ \frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9 \]
\[ 7\cdot9 + 11 = 63 + 11 = 74 \checkmark \]

Trying values of x in 7x + 11 = 74

x7x + 11Equals 74?
760no
867no
974yes
1081no
1188no

Questions

What is x in 7x + 11 = 74?

The solution of 7x + 11 = 74 is x = 9.

How do you solve 7x + 11 = 74?

Subtract 11 from both sides to get 7x = 63, then divide both sides by 7 to get x = 9.

How do I check the answer?

Replace x by 9: 7(9) + 11 = 74, which is 74.

Similar equations

    Solve 7x + 11 = 74: x = 9 (steps and check) | WordGPT