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Solve 5x + 3 = 23

The solution of 5x + 3 = 23 is x = 4.

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The lines y = 5x + 3 and y = 23 meet at x = 4-2246810-101020304050x = 4y = 5x + 3y = 23
The lines y = 5x + 3 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.

    5x+3=235x + 3 = 23
  2. 2

    Subtract 3 from both sides:

    5x+3−3=23−3 ⇒ 5x=205x + 3 - 3 = 23 - 3 \ \Rightarrow\ 5x = 20
  3. 3

    Divide both sides by 5:

    5x5=205 ⇒ x=4\frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    5⋅4+3=20+3=23✓5\cdot4 + 3 = 20 + 3 = 23 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 3 = 23\ \Rightarrow\ x = 4 \]
\[ 5x + 3 = 23 \]
\[ 5x + 3 - 3 = 23 - 3 \ \Rightarrow\ 5x = 20 \]
\[ \frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4 \]
\[ 5\cdot4 + 3 = 20 + 3 = 23 \checkmark \]

Trying values of x in 5x + 3 = 23

x5x + 3Equals 23?
213no
318no
423yes
528no
633no

Questions

What is x in 5x + 3 = 23?

The solution of 5x + 3 = 23 is x = 4.

How do you solve 5x + 3 = 23?

Subtract 3 from both sides to get 5x = 20, then divide both sides by 5 to get x = 4.

How do I check the answer?

Replace x by 4: 5(4) + 3 = 23, which is 23.

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    Solve 5x + 3 = 23: x = 4 (steps and check) | WordGPT