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Solve 7x + 5 = 61

The solution of 7x + 5 = 61 is x = 8.

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The lines y = 7x + 5 and y = 61 meet at x = 8246810121420406080100x = 8y = 7x + 5y = 61
The lines y = 7x + 5 and y = 61 meet at x = 8. 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+5=617x + 5 = 61
  2. 2

    Subtract 5 from both sides:

    7x+5−5=61−5 ⇒ 7x=567x + 5 - 5 = 61 - 5 \ \Rightarrow\ 7x = 56
  3. 3

    Divide both sides by 7:

    7x7=567 ⇒ x=8\frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    7⋅8+5=56+5=61✓7\cdot8 + 5 = 56 + 5 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 5 = 61\ \Rightarrow\ x = 8 \]
\[ 7x + 5 = 61 \]
\[ 7x + 5 - 5 = 61 - 5 \ \Rightarrow\ 7x = 56 \]
\[ \frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8 \]
\[ 7\cdot8 + 5 = 56 + 5 = 61 \checkmark \]

Trying values of x in 7x + 5 = 61

x7x + 5Equals 61?
647no
754no
861yes
968no
1075no

Questions

What is x in 7x + 5 = 61?

The solution of 7x + 5 = 61 is x = 8.

How do you solve 7x + 5 = 61?

Subtract 5 from both sides to get 7x = 56, then divide both sides by 7 to get x = 8.

How do I check the answer?

Replace x by 8: 7(8) + 5 = 61, which is 61.

Similar equations

    Solve 7x + 5 = 61: x = 8 (steps and check) | WordGPT