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Solve 6x + 3 = 33

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

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The lines y = 6x + 3 and y = 33 meet at x = 5246810-1010203040506070x = 5y = 6x + 3y = 33
The lines y = 6x + 3 and y = 33 meet at x = 5. 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.

    6x+3=336x + 3 = 33
  2. 2

    Subtract 3 from both sides:

    6x+3−3=33−3 ⇒ 6x=306x + 3 - 3 = 33 - 3 \ \Rightarrow\ 6x = 30
  3. 3

    Divide both sides by 6:

    6x6=306 ⇒ x=5\frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    6⋅5+3=30+3=33✓6\cdot5 + 3 = 30 + 3 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 3 = 33\ \Rightarrow\ x = 5 \]
\[ 6x + 3 = 33 \]
\[ 6x + 3 - 3 = 33 - 3 \ \Rightarrow\ 6x = 30 \]
\[ \frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5 \]
\[ 6\cdot5 + 3 = 30 + 3 = 33 \checkmark \]

Trying values of x in 6x + 3 = 33

x6x + 3Equals 33?
321no
427no
533yes
639no
745no

Questions

What is x in 6x + 3 = 33?

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

How do you solve 6x + 3 = 33?

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

How do I check the answer?

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

Similar equations

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