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Solve 5x + 3 = 33

The solution of 5x + 3 = 33 is x = 6.

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The lines y = 5x + 3 and y = 33 meet at x = 624681012102030405060x = 6y = 5x + 3y = 33
The lines y = 5x + 3 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.

    5x+3=335x + 3 = 33
  2. 2

    Subtract 3 from both sides:

    5x+3−3=33−3 ⇒ 5x=305x + 3 - 3 = 33 - 3 \ \Rightarrow\ 5x = 30
  3. 3

    Divide both sides by 5:

    5x5=305 ⇒ x=6\frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    5⋅6+3=30+3=33✓5\cdot6 + 3 = 30 + 3 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 3 = 33\ \Rightarrow\ x = 6 \]
\[ 5x + 3 = 33 \]
\[ 5x + 3 - 3 = 33 - 3 \ \Rightarrow\ 5x = 30 \]
\[ \frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6 \]
\[ 5\cdot6 + 3 = 30 + 3 = 33 \checkmark \]

Trying values of x in 5x + 3 = 33

x5x + 3Equals 33?
423no
528no
633yes
738no
843no

Questions

What is x in 5x + 3 = 33?

The solution of 5x + 3 = 33 is x = 6.

How do you solve 5x + 3 = 33?

Subtract 3 from both sides to get 5x = 30, then divide both sides by 5 to get x = 6.

How do I check the answer?

Replace x by 6: 5(6) + 3 = 33, which is 33.

Similar equations

    Solve 5x + 3 = 33: x = 6 (steps and check) | WordGPT