WordGPT

Solve 10x + 7 = 47

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

Explain it step by step in chatMake a short video of it
The lines y = 10x + 7 and y = 47 meet at x = 4-2246810-2020406080100x = 4y = 10x + 7y = 47
The lines y = 10x + 7 and y = 47 meet at x = 4. 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.

    10x+7=4710x + 7 = 47
  2. 2

    Subtract 7 from both sides:

    10x+7−7=47−7 ⇒ 10x=4010x + 7 - 7 = 47 - 7 \ \Rightarrow\ 10x = 40
  3. 3

    Divide both sides by 10:

    10x10=4010 ⇒ x=4\frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    10⋅4+7=40+7=47✓10\cdot4 + 7 = 40 + 7 = 47 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 7 = 47\ \Rightarrow\ x = 4 \]
\[ 10x + 7 = 47 \]
\[ 10x + 7 - 7 = 47 - 7 \ \Rightarrow\ 10x = 40 \]
\[ \frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4 \]
\[ 10\cdot4 + 7 = 40 + 7 = 47 \checkmark \]

Trying values of x in 10x + 7 = 47

x10x + 7Equals 47?
227no
337no
447yes
557no
667no

Questions

What is x in 10x + 7 = 47?

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

How do you solve 10x + 7 = 47?

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

How do I check the answer?

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

Similar equations

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