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Solve 2x + 3 = 15

The solution of 2x + 3 = 15 is x = 6.

The lines y = 2x + 3 and y = 15 meet at x = 624681012510152025x = 6y = 2x + 3y = 15
The lines y = 2x + 3 and y = 15 meet at x = 6. 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=152x + 3 = 15
  2. 2

    Subtract 3 from both sides:

    2x+3−3=15−3 ⇒ 2x=122x + 3 - 3 = 15 - 3 \ \Rightarrow\ 2x = 12
  3. 3

    Divide both sides by 2:

    2x2=122 ⇒ x=6\frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    2⋅6+3=12+3=15✓2\cdot6 + 3 = 12 + 3 = 15 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 3 = 15\ \Rightarrow\ x = 6 \]
\[ 2x + 3 = 15 \]
\[ 2x + 3 - 3 = 15 - 3 \ \Rightarrow\ 2x = 12 \]
\[ \frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6 \]
\[ 2\cdot6 + 3 = 12 + 3 = 15 \checkmark \]

Trying values of x in 2x + 3 = 15

x2x + 3Equals 15?
411no
513no
615yes
717no
819no

Questions

What is x in 2x + 3 = 15?

The solution of 2x + 3 = 15 is x = 6.

How do you solve 2x + 3 = 15?

Subtract 3 from both sides to get 2x = 12, then divide both sides by 2 to get x = 6.

How do I check the answer?

Replace x by 6: 2(6) + 3 = 15, which is 15.

Similar equations

    Solve 2x + 3 = 15: x = 6 (steps and check) | WordGPT