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Solve 6x + 7 = 61

The solution of 6x + 7 = 61 is x = 9.

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The lines y = 6x + 7 and y = 61 meet at x = 94681012142030405060708090100x = 9y = 6x + 7y = 61
The lines y = 6x + 7 and y = 61 meet at x = 9. 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+7=616x + 7 = 61
  2. 2

    Subtract 7 from both sides:

    6x+7−7=61−7 ⇒ 6x=546x + 7 - 7 = 61 - 7 \ \Rightarrow\ 6x = 54
  3. 3

    Divide both sides by 6:

    6x6=546 ⇒ x=9\frac{6x}{6} = \frac{54}{6} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    6⋅9+7=54+7=61✓6\cdot9 + 7 = 54 + 7 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 7 = 61\ \Rightarrow\ x = 9 \]
\[ 6x + 7 = 61 \]
\[ 6x + 7 - 7 = 61 - 7 \ \Rightarrow\ 6x = 54 \]
\[ \frac{6x}{6} = \frac{54}{6} \ \Rightarrow\ x = 9 \]
\[ 6\cdot9 + 7 = 54 + 7 = 61 \checkmark \]

Trying values of x in 6x + 7 = 61

x6x + 7Equals 61?
749no
855no
961yes
1067no
1173no

Questions

What is x in 6x + 7 = 61?

The solution of 6x + 7 = 61 is x = 9.

How do you solve 6x + 7 = 61?

Subtract 7 from both sides to get 6x = 54, then divide both sides by 6 to get x = 9.

How do I check the answer?

Replace x by 9: 6(9) + 7 = 61, which is 61.

Similar equations

    Solve 6x + 7 = 61: x = 9 (steps and check) | WordGPT