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Solve 2x + 3 = 5

The solution of 2x + 3 = 5 is x = 1.

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The lines y = 2x + 3 and y = 5 meet at x = 1-4-2246-551015x = 1y = 2x + 3y = 5
The lines y = 2x + 3 and y = 5 meet at x = 1. 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=52x + 3 = 5
  2. 2

    Subtract 3 from both sides:

    2x+3−3=5−3 ⇒ 2x=22x + 3 - 3 = 5 - 3 \ \Rightarrow\ 2x = 2
  3. 3

    Divide both sides by 2:

    2x2=22 ⇒ x=1\frac{2x}{2} = \frac{2}{2} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    2⋅1+3=2+3=5✓2\cdot1 + 3 = 2 + 3 = 5 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 3 = 5\ \Rightarrow\ x = 1 \]
\[ 2x + 3 = 5 \]
\[ 2x + 3 - 3 = 5 - 3 \ \Rightarrow\ 2x = 2 \]
\[ \frac{2x}{2} = \frac{2}{2} \ \Rightarrow\ x = 1 \]
\[ 2\cdot1 + 3 = 2 + 3 = 5 \checkmark \]

Trying values of x in 2x + 3 = 5

x2x + 3Equals 5?
-11no
03no
15yes
27no
39no

Questions

What is x in 2x + 3 = 5?

The solution of 2x + 3 = 5 is x = 1.

How do you solve 2x + 3 = 5?

Subtract 3 from both sides to get 2x = 2, then divide both sides by 2 to get x = 1.

How do I check the answer?

Replace x by 1: 2(1) + 3 = 5, which is 5.

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    Solve 2x + 3 = 5: x = 1 (steps and check) | WordGPT