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Solve 2x + 5 = 7

The solution of 2x + 5 = 7 is x = 1.

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The lines y = 2x + 5 and y = 7 meet at x = 1-4-2246-55101520x = 1y = 2x + 5y = 7
The lines y = 2x + 5 and y = 7 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+5=72x + 5 = 7
  2. 2

    Subtract 5 from both sides:

    2x+5−5=7−5 ⇒ 2x=22x + 5 - 5 = 7 - 5 \ \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+5=2+5=7✓2\cdot1 + 5 = 2 + 5 = 7 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 5 = 7\ \Rightarrow\ x = 1 \]
\[ 2x + 5 = 7 \]
\[ 2x + 5 - 5 = 7 - 5 \ \Rightarrow\ 2x = 2 \]
\[ \frac{2x}{2} = \frac{2}{2} \ \Rightarrow\ x = 1 \]
\[ 2\cdot1 + 5 = 2 + 5 = 7 \checkmark \]

Trying values of x in 2x + 5 = 7

x2x + 5Equals 7?
-13no
05no
17yes
29no
311no

Questions

What is x in 2x + 5 = 7?

The solution of 2x + 5 = 7 is x = 1.

How do you solve 2x + 5 = 7?

Subtract 5 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) + 5 = 7, which is 7.

Similar equations

    Solve 2x + 5 = 7: x = 1 (steps and check) | WordGPT