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Solve 7x + 12 = 61

The solution of 7x + 12 = 61 is x = 7.

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The lines y = 7x + 12 and y = 61 meet at x = 72468101220406080100x = 7y = 7x + 12y = 61
The lines y = 7x + 12 and y = 61 meet at x = 7. 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.

    7x+12=617x + 12 = 61
  2. 2

    Subtract 12 from both sides:

    7x+12−12=61−12 ⇒ 7x=497x + 12 - 12 = 61 - 12 \ \Rightarrow\ 7x = 49
  3. 3

    Divide both sides by 7:

    7x7=497 ⇒ x=7\frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    7⋅7+12=49+12=61✓7\cdot7 + 12 = 49 + 12 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 12 = 61\ \Rightarrow\ x = 7 \]
\[ 7x + 12 = 61 \]
\[ 7x + 12 - 12 = 61 - 12 \ \Rightarrow\ 7x = 49 \]
\[ \frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7 \]
\[ 7\cdot7 + 12 = 49 + 12 = 61 \checkmark \]

Trying values of x in 7x + 12 = 61

x7x + 12Equals 61?
547no
654no
761yes
868no
975no

Questions

What is x in 7x + 12 = 61?

The solution of 7x + 12 = 61 is x = 7.

How do you solve 7x + 12 = 61?

Subtract 12 from both sides to get 7x = 49, then divide both sides by 7 to get x = 7.

How do I check the answer?

Replace x by 7: 7(7) + 12 = 61, which is 61.

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    Solve 7x + 12 = 61: x = 7 (steps and check) | WordGPT