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Solve 5x + 6 = 61

The solution of 5x + 6 = 61 is x = 11.

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The lines y = 5x + 6 and y = 61 meet at x = 11681012141630405060708090x = 11y = 5x + 6y = 61
The lines y = 5x + 6 and y = 61 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.

    5x+6=615x + 6 = 61
  2. 2

    Subtract 6 from both sides:

    5x+6−6=61−6 ⇒ 5x=555x + 6 - 6 = 61 - 6 \ \Rightarrow\ 5x = 55
  3. 3

    Divide both sides by 5:

    5x5=555 ⇒ x=11\frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    5⋅11+6=55+6=61✓5\cdot11 + 6 = 55 + 6 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 6 = 61\ \Rightarrow\ x = 11 \]
\[ 5x + 6 = 61 \]
\[ 5x + 6 - 6 = 61 - 6 \ \Rightarrow\ 5x = 55 \]
\[ \frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11 \]
\[ 5\cdot11 + 6 = 55 + 6 = 61 \checkmark \]

Trying values of x in 5x + 6 = 61

x5x + 6Equals 61?
951no
1056no
1161yes
1266no
1371no

Questions

What is x in 5x + 6 = 61?

The solution of 5x + 6 = 61 is x = 11.

How do you solve 5x + 6 = 61?

Subtract 6 from both sides to get 5x = 55, then divide both sides by 5 to get x = 11.

How do I check the answer?

Replace x by 11: 5(11) + 6 = 61, which is 61.

Similar equations

    Solve 5x + 6 = 61: x = 11 (steps and check) | WordGPT