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Solve 3x + 15 = 33

The solution of 3x + 15 = 33 is x = 6.

The lines y = 3x + 15 and y = 33 meet at x = 6246810121520253035404550x = 6y = 3x + 15y = 33
The lines y = 3x + 15 and y = 33 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.

    3x+15=333x + 15 = 33
  2. 2

    Subtract 15 from both sides:

    3x+15−15=33−15 ⇒ 3x=183x + 15 - 15 = 33 - 15 \ \Rightarrow\ 3x = 18
  3. 3

    Divide both sides by 3:

    3x3=183 ⇒ x=6\frac{3x}{3} = \frac{18}{3} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    3⋅6+15=18+15=33✓3\cdot6 + 15 = 18 + 15 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 15 = 33\ \Rightarrow\ x = 6 \]
\[ 3x + 15 = 33 \]
\[ 3x + 15 - 15 = 33 - 15 \ \Rightarrow\ 3x = 18 \]
\[ \frac{3x}{3} = \frac{18}{3} \ \Rightarrow\ x = 6 \]
\[ 3\cdot6 + 15 = 18 + 15 = 33 \checkmark \]

Trying values of x in 3x + 15 = 33

x3x + 15Equals 33?
427no
530no
633yes
736no
839no

Questions

What is x in 3x + 15 = 33?

The solution of 3x + 15 = 33 is x = 6.

How do you solve 3x + 15 = 33?

Subtract 15 from both sides to get 3x = 18, then divide both sides by 3 to get x = 6.

How do I check the answer?

Replace x by 6: 3(6) + 15 = 33, which is 33.

Similar equations

    Solve 3x + 15 = 33: x = 6 (steps and check) | WordGPT