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Solve 6x + 3 = 27

The solution of 6x + 3 = 27 is x = 4.

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The lines y = 6x + 3 and y = 27 meet at x = 4-2246810-1010203040506070x = 4y = 6x + 3y = 27
The lines y = 6x + 3 and y = 27 meet at x = 4. 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=276x + 3 = 27
  2. 2

    Subtract 3 from both sides:

    6x+3−3=27−3 ⇒ 6x=246x + 3 - 3 = 27 - 3 \ \Rightarrow\ 6x = 24
  3. 3

    Divide both sides by 6:

    6x6=246 ⇒ x=4\frac{6x}{6} = \frac{24}{6} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    6⋅4+3=24+3=27✓6\cdot4 + 3 = 24 + 3 = 27 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 3 = 27\ \Rightarrow\ x = 4 \]
\[ 6x + 3 = 27 \]
\[ 6x + 3 - 3 = 27 - 3 \ \Rightarrow\ 6x = 24 \]
\[ \frac{6x}{6} = \frac{24}{6} \ \Rightarrow\ x = 4 \]
\[ 6\cdot4 + 3 = 24 + 3 = 27 \checkmark \]

Trying values of x in 6x + 3 = 27

x6x + 3Equals 27?
215no
321no
427yes
533no
639no

Questions

What is x in 6x + 3 = 27?

The solution of 6x + 3 = 27 is x = 4.

How do you solve 6x + 3 = 27?

Subtract 3 from both sides to get 6x = 24, then divide both sides by 6 to get x = 4.

How do I check the answer?

Replace x by 4: 6(4) + 3 = 27, which is 27.

Similar equations

    Solve 6x + 3 = 27: x = 4 (steps and check) | WordGPT