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Solve 6x + 12 = 18

The solution of 6x + 12 = 18 is x = 1.

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The lines y = 6x + 12 and y = 18 meet at x = 1-4-2246-20-10102030405060x = 1y = 6x + 12y = 18
The lines y = 6x + 12 and y = 18 meet at x = 1. 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+12=186x + 12 = 18
  2. 2

    Subtract 12 from both sides:

    6x+12−12=18−12 ⇒ 6x=66x + 12 - 12 = 18 - 12 \ \Rightarrow\ 6x = 6
  3. 3

    Divide both sides by 6:

    6x6=66 ⇒ x=1\frac{6x}{6} = \frac{6}{6} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    6⋅1+12=6+12=18✓6\cdot1 + 12 = 6 + 12 = 18 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 12 = 18\ \Rightarrow\ x = 1 \]
\[ 6x + 12 = 18 \]
\[ 6x + 12 - 12 = 18 - 12 \ \Rightarrow\ 6x = 6 \]
\[ \frac{6x}{6} = \frac{6}{6} \ \Rightarrow\ x = 1 \]
\[ 6\cdot1 + 12 = 6 + 12 = 18 \checkmark \]

Trying values of x in 6x + 12 = 18

x6x + 12Equals 18?
-16no
012no
118yes
224no
330no

Questions

What is x in 6x + 12 = 18?

The solution of 6x + 12 = 18 is x = 1.

How do you solve 6x + 12 = 18?

Subtract 12 from both sides to get 6x = 6, then divide both sides by 6 to get x = 1.

How do I check the answer?

Replace x by 1: 6(1) + 12 = 18, which is 18.

Similar equations

    Solve 6x + 12 = 18: x = 1 (steps and check) | WordGPT