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Solve 4x + 7 = 23

The solution of 4x + 7 = 23 is x = 4.

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The lines y = 4x + 7 and y = 23 meet at x = 4-22468101020304050x = 4y = 4x + 7y = 23
The lines y = 4x + 7 and y = 23 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.

    4x+7=234x + 7 = 23
  2. 2

    Subtract 7 from both sides:

    4x+7−7=23−7 ⇒ 4x=164x + 7 - 7 = 23 - 7 \ \Rightarrow\ 4x = 16
  3. 3

    Divide both sides by 4:

    4x4=164 ⇒ x=4\frac{4x}{4} = \frac{16}{4} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    4⋅4+7=16+7=23✓4\cdot4 + 7 = 16 + 7 = 23 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 7 = 23\ \Rightarrow\ x = 4 \]
\[ 4x + 7 = 23 \]
\[ 4x + 7 - 7 = 23 - 7 \ \Rightarrow\ 4x = 16 \]
\[ \frac{4x}{4} = \frac{16}{4} \ \Rightarrow\ x = 4 \]
\[ 4\cdot4 + 7 = 16 + 7 = 23 \checkmark \]

Trying values of x in 4x + 7 = 23

x4x + 7Equals 23?
215no
319no
423yes
527no
631no

Questions

What is x in 4x + 7 = 23?

The solution of 4x + 7 = 23 is x = 4.

How do you solve 4x + 7 = 23?

Subtract 7 from both sides to get 4x = 16, then divide both sides by 4 to get x = 4.

How do I check the answer?

Replace x by 4: 4(4) + 7 = 23, which is 23.

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    Solve 4x + 7 = 23: x = 4 (steps and check) | WordGPT