WordGPT

Solve 4x + 7 = 51

The solution of 4x + 7 = 51 is x = 11.

Explain it step by step in chatMake a short video of it
The lines y = 4x + 7 and y = 51 meet at x = 116810121416304050607080x = 11y = 4x + 7y = 51
The lines y = 4x + 7 and y = 51 meet at x = 11. 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=514x + 7 = 51
  2. 2

    Subtract 7 from both sides:

    4x+7−7=51−7 ⇒ 4x=444x + 7 - 7 = 51 - 7 \ \Rightarrow\ 4x = 44
  3. 3

    Divide both sides by 4:

    4x4=444 ⇒ x=11\frac{4x}{4} = \frac{44}{4} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    4⋅11+7=44+7=51✓4\cdot11 + 7 = 44 + 7 = 51 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 7 = 51\ \Rightarrow\ x = 11 \]
\[ 4x + 7 = 51 \]
\[ 4x + 7 - 7 = 51 - 7 \ \Rightarrow\ 4x = 44 \]
\[ \frac{4x}{4} = \frac{44}{4} \ \Rightarrow\ x = 11 \]
\[ 4\cdot11 + 7 = 44 + 7 = 51 \checkmark \]

Trying values of x in 4x + 7 = 51

x4x + 7Equals 51?
943no
1047no
1151yes
1255no
1359no

Questions

What is x in 4x + 7 = 51?

The solution of 4x + 7 = 51 is x = 11.

How do you solve 4x + 7 = 51?

Subtract 7 from both sides to get 4x = 44, then divide both sides by 4 to get x = 11.

How do I check the answer?

Replace x by 11: 4(11) + 7 = 51, which is 51.

Similar equations

    Solve 4x + 7 = 51: x = 11 (steps and check) | WordGPT