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Solve 7x + 1 = 78

The solution of 7x + 1 = 78 is x = 11.

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The lines y = 7x + 1 and y = 78 meet at x = 116810121416406080100120x = 11y = 7x + 1y = 78
The lines y = 7x + 1 and y = 78 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.

    7x+1=787x + 1 = 78
  2. 2

    Subtract 1 from both sides:

    7x+1−1=78−1 ⇒ 7x=777x + 1 - 1 = 78 - 1 \ \Rightarrow\ 7x = 77
  3. 3

    Divide both sides by 7:

    7x7=777 ⇒ x=11\frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    7⋅11+1=77+1=78✓7\cdot11 + 1 = 77 + 1 = 78 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 1 = 78\ \Rightarrow\ x = 11 \]
\[ 7x + 1 = 78 \]
\[ 7x + 1 - 1 = 78 - 1 \ \Rightarrow\ 7x = 77 \]
\[ \frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11 \]
\[ 7\cdot11 + 1 = 77 + 1 = 78 \checkmark \]

Trying values of x in 7x + 1 = 78

x7x + 1Equals 78?
964no
1071no
1178yes
1285no
1392no

Questions

What is x in 7x + 1 = 78?

The solution of 7x + 1 = 78 is x = 11.

How do you solve 7x + 1 = 78?

Subtract 1 from both sides to get 7x = 77, then divide both sides by 7 to get x = 11.

How do I check the answer?

Replace x by 11: 7(11) + 1 = 78, which is 78.

Similar equations

    Solve 7x + 1 = 78: x = 11 (steps and check) | WordGPT