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Solve 2x + 3 = 23

The solution of 2x + 3 = 23 is x = 10.

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The lines y = 2x + 3 and y = 23 meet at x = 1046810121416101520253035x = 10y = 2x + 3y = 23
The lines y = 2x + 3 and y = 23 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.

    2x+3=232x + 3 = 23
  2. 2

    Subtract 3 from both sides:

    2x+3−3=23−3 ⇒ 2x=202x + 3 - 3 = 23 - 3 \ \Rightarrow\ 2x = 20
  3. 3

    Divide both sides by 2:

    2x2=202 ⇒ x=10\frac{2x}{2} = \frac{20}{2} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    2⋅10+3=20+3=23✓2\cdot10 + 3 = 20 + 3 = 23 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 3 = 23\ \Rightarrow\ x = 10 \]
\[ 2x + 3 = 23 \]
\[ 2x + 3 - 3 = 23 - 3 \ \Rightarrow\ 2x = 20 \]
\[ \frac{2x}{2} = \frac{20}{2} \ \Rightarrow\ x = 10 \]
\[ 2\cdot10 + 3 = 20 + 3 = 23 \checkmark \]

Trying values of x in 2x + 3 = 23

x2x + 3Equals 23?
819no
921no
1023yes
1125no
1227no

Questions

What is x in 2x + 3 = 23?

The solution of 2x + 3 = 23 is x = 10.

How do you solve 2x + 3 = 23?

Subtract 3 from both sides to get 2x = 20, then divide both sides by 2 to get x = 10.

How do I check the answer?

Replace x by 10: 2(10) + 3 = 23, which is 23.

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    Solve 2x + 3 = 23: x = 10 (steps and check) | WordGPT