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Solve 12x + 6 = 138

The solution of 12x + 6 = 138 is x = 11.

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The lines y = 12x + 6 and y = 138 meet at x = 1168101214166080100120140160180200220x = 11y = 12x + 6y = 138
The lines y = 12x + 6 and y = 138 meet at x = 11. 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.

    12x+6=13812x + 6 = 138
  2. 2

    Subtract 6 from both sides:

    12x+6−6=138−6 ⇒ 12x=13212x + 6 - 6 = 138 - 6 \ \Rightarrow\ 12x = 132
  3. 3

    Divide both sides by 12:

    12x12=13212 ⇒ x=11\frac{12x}{12} = \frac{132}{12} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    12⋅11+6=132+6=138✓12\cdot11 + 6 = 132 + 6 = 138 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 6 = 138\ \Rightarrow\ x = 11 \]
\[ 12x + 6 = 138 \]
\[ 12x + 6 - 6 = 138 - 6 \ \Rightarrow\ 12x = 132 \]
\[ \frac{12x}{12} = \frac{132}{12} \ \Rightarrow\ x = 11 \]
\[ 12\cdot11 + 6 = 132 + 6 = 138 \checkmark \]

Trying values of x in 12x + 6 = 138

x12x + 6Equals 138?
9114no
10126no
11138yes
12150no
13162no

Questions

What is x in 12x + 6 = 138?

The solution of 12x + 6 = 138 is x = 11.

How do you solve 12x + 6 = 138?

Subtract 6 from both sides to get 12x = 132, then divide both sides by 12 to get x = 11.

How do I check the answer?

Replace x by 11: 12(11) + 6 = 138, which is 138.

Similar equations

    Solve 12x + 6 = 138: x = 11 (steps and check) | WordGPT