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Solve 12x + 7 = 43

The solution of 12x + 7 = 43 is x = 3.

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The lines y = 12x + 7 and y = 43 meet at x = 3-22468-40-2020406080100120x = 3y = 12x + 7y = 43
The lines y = 12x + 7 and y = 43 meet at x = 3. 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+7=4312x + 7 = 43
  2. 2

    Subtract 7 from both sides:

    12x+7−7=43−7 ⇒ 12x=3612x + 7 - 7 = 43 - 7 \ \Rightarrow\ 12x = 36
  3. 3

    Divide both sides by 12:

    12x12=3612 ⇒ x=3\frac{12x}{12} = \frac{36}{12} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    12⋅3+7=36+7=43✓12\cdot3 + 7 = 36 + 7 = 43 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 7 = 43\ \Rightarrow\ x = 3 \]
\[ 12x + 7 = 43 \]
\[ 12x + 7 - 7 = 43 - 7 \ \Rightarrow\ 12x = 36 \]
\[ \frac{12x}{12} = \frac{36}{12} \ \Rightarrow\ x = 3 \]
\[ 12\cdot3 + 7 = 36 + 7 = 43 \checkmark \]

Trying values of x in 12x + 7 = 43

x12x + 7Equals 43?
119no
231no
343yes
455no
567no

Questions

What is x in 12x + 7 = 43?

The solution of 12x + 7 = 43 is x = 3.

How do you solve 12x + 7 = 43?

Subtract 7 from both sides to get 12x = 36, then divide both sides by 12 to get x = 3.

How do I check the answer?

Replace x by 3: 12(3) + 7 = 43, which is 43.

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    Solve 12x + 7 = 43: x = 3 (steps and check) | WordGPT