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Solve 6x + 12 = 114

The solution of 6x + 12 = 114 is x = 17.

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The lines y = 6x + 12 and y = 114 meet at x = 171214161820228090100110120130140150x = 17y = 6x + 12y = 114
The lines y = 6x + 12 and y = 114 meet at x = 17. 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=1146x + 12 = 114
  2. 2

    Subtract 12 from both sides:

    6x+12−12=114−12 ⇒ 6x=1026x + 12 - 12 = 114 - 12 \ \Rightarrow\ 6x = 102
  3. 3

    Divide both sides by 6:

    6x6=1026 ⇒ x=17\frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    6⋅17+12=102+12=114✓6\cdot17 + 12 = 102 + 12 = 114 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 12 = 114\ \Rightarrow\ x = 17 \]
\[ 6x + 12 = 114 \]
\[ 6x + 12 - 12 = 114 - 12 \ \Rightarrow\ 6x = 102 \]
\[ \frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17 \]
\[ 6\cdot17 + 12 = 102 + 12 = 114 \checkmark \]

Trying values of x in 6x + 12 = 114

x6x + 12Equals 114?
15102no
16108no
17114yes
18120no
19126no

Questions

What is x in 6x + 12 = 114?

The solution of 6x + 12 = 114 is x = 17.

How do you solve 6x + 12 = 114?

Subtract 12 from both sides to get 6x = 102, then divide both sides by 6 to get x = 17.

How do I check the answer?

Replace x by 17: 6(17) + 12 = 114, which is 114.

Similar equations

    Solve 6x + 12 = 114: x = 17 (steps and check) | WordGPT