WordGPT

Solve 4x + 11 = 7

The solution of 4x + 11 = 7 is x = -1.

Explain it step by step in chatMake a short video of it
The lines y = 4x + 11 and y = 7 meet at x = -1-6-4-224-20-10102030x = -1y = 4x + 11y = 7
The lines y = 4x + 11 and y = 7 meet at x = -1. 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.

    4x+11=74x + 11 = 7
  2. 2

    Subtract 11 from both sides:

    4x+11−11=7−11 ⇒ 4x=−44x + 11 - 11 = 7 - 11 \ \Rightarrow\ 4x = -4
  3. 3

    Divide both sides by 4:

    4x4=−44 ⇒ x=−1\frac{4x}{4} = \frac{-4}{4} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    4⋅(−1)+11=−4+11=7✓4\cdot(-1) + 11 = -4 + 11 = 7 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 11 = 7\ \Rightarrow\ x = -1 \]
\[ 4x + 11 = 7 \]
\[ 4x + 11 - 11 = 7 - 11 \ \Rightarrow\ 4x = -4 \]
\[ \frac{4x}{4} = \frac{-4}{4} \ \Rightarrow\ x = -1 \]
\[ 4\cdot(-1) + 11 = -4 + 11 = 7 \checkmark \]

Trying values of x in 4x + 11 = 7

x4x + 11Equals 7?
-3-1no
-23no
-17yes
011no
115no

Questions

What is x in 4x + 11 = 7?

The solution of 4x + 11 = 7 is x = -1.

How do you solve 4x + 11 = 7?

Subtract 11 from both sides to get 4x = -4, then divide both sides by 4 to get x = -1.

How do I check the answer?

Replace x by -1: 4(-1) + 11 = 7, which is 7.

Similar equations

    Solve 4x + 11 = 7: x = -1 (steps and check) | WordGPT