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Solve 6x + 3 = 111

The solution of 6x + 3 = 111 is x = 18.

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The lines y = 6x + 3 and y = 111 meet at x = 1812141618202224708090100110120130140150x = 18y = 6x + 3y = 111
The lines y = 6x + 3 and y = 111 meet at x = 18. 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=1116x + 3 = 111
  2. 2

    Subtract 3 from both sides:

    6x+3−3=111−3 ⇒ 6x=1086x + 3 - 3 = 111 - 3 \ \Rightarrow\ 6x = 108
  3. 3

    Divide both sides by 6:

    6x6=1086 ⇒ x=18\frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    6⋅18+3=108+3=111✓6\cdot18 + 3 = 108 + 3 = 111 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 3 = 111\ \Rightarrow\ x = 18 \]
\[ 6x + 3 = 111 \]
\[ 6x + 3 - 3 = 111 - 3 \ \Rightarrow\ 6x = 108 \]
\[ \frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18 \]
\[ 6\cdot18 + 3 = 108 + 3 = 111 \checkmark \]

Trying values of x in 6x + 3 = 111

x6x + 3Equals 111?
1699no
17105no
18111yes
19117no
20123no

Questions

What is x in 6x + 3 = 111?

The solution of 6x + 3 = 111 is x = 18.

How do you solve 6x + 3 = 111?

Subtract 3 from both sides to get 6x = 108, then divide both sides by 6 to get x = 18.

How do I check the answer?

Replace x by 18: 6(18) + 3 = 111, which is 111.

Similar equations

    Solve 6x + 3 = 111: x = 18 (steps and check) | WordGPT