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Solve 2x + 3 = 7

The solution of 2x + 3 = 7 is x = 2.

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The lines y = 2x + 3 and y = 7 meet at x = 2-4-22468-55101520x = 2y = 2x + 3y = 7
The lines y = 2x + 3 and y = 7 meet at x = 2. 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=72x + 3 = 7
  2. 2

    Subtract 3 from both sides:

    2x+3−3=7−3 ⇒ 2x=42x + 3 - 3 = 7 - 3 \ \Rightarrow\ 2x = 4
  3. 3

    Divide both sides by 2:

    2x2=42 ⇒ x=2\frac{2x}{2} = \frac{4}{2} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    2⋅2+3=4+3=7✓2\cdot2 + 3 = 4 + 3 = 7 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 3 = 7\ \Rightarrow\ x = 2 \]
\[ 2x + 3 = 7 \]
\[ 2x + 3 - 3 = 7 - 3 \ \Rightarrow\ 2x = 4 \]
\[ \frac{2x}{2} = \frac{4}{2} \ \Rightarrow\ x = 2 \]
\[ 2\cdot2 + 3 = 4 + 3 = 7 \checkmark \]

Trying values of x in 2x + 3 = 7

x2x + 3Equals 7?
03no
15no
27yes
39no
411no

Questions

What is x in 2x + 3 = 7?

The solution of 2x + 3 = 7 is x = 2.

How do you solve 2x + 3 = 7?

Subtract 3 from both sides to get 2x = 4, then divide both sides by 2 to get x = 2.

How do I check the answer?

Replace x by 2: 2(2) + 3 = 7, which is 7.

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