WordGPT

Solve 4x + 7 = 47

The solution of 4x + 7 = 47 is x = 10.

Explain it step by step in chatMake a short video of it
The lines y = 4x + 7 and y = 47 meet at x = 1046810121416203040506070x = 10y = 4x + 7y = 47
The lines y = 4x + 7 and y = 47 meet at x = 10. 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+7=474x + 7 = 47
  2. 2

    Subtract 7 from both sides:

    4x+7−7=47−7 ⇒ 4x=404x + 7 - 7 = 47 - 7 \ \Rightarrow\ 4x = 40
  3. 3

    Divide both sides by 4:

    4x4=404 ⇒ x=10\frac{4x}{4} = \frac{40}{4} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    4⋅10+7=40+7=47✓4\cdot10 + 7 = 40 + 7 = 47 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 7 = 47\ \Rightarrow\ x = 10 \]
\[ 4x + 7 = 47 \]
\[ 4x + 7 - 7 = 47 - 7 \ \Rightarrow\ 4x = 40 \]
\[ \frac{4x}{4} = \frac{40}{4} \ \Rightarrow\ x = 10 \]
\[ 4\cdot10 + 7 = 40 + 7 = 47 \checkmark \]

Trying values of x in 4x + 7 = 47

x4x + 7Equals 47?
839no
943no
1047yes
1151no
1255no

Questions

What is x in 4x + 7 = 47?

The solution of 4x + 7 = 47 is x = 10.

How do you solve 4x + 7 = 47?

Subtract 7 from both sides to get 4x = 40, then divide both sides by 4 to get x = 10.

How do I check the answer?

Replace x by 10: 4(10) + 7 = 47, which is 47.

Similar equations

    Solve 4x + 7 = 47: x = 10 (steps and check) | WordGPT