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Solve 7x + 1 = 113

The solution of 7x + 1 = 113 is x = 16.

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The lines y = 7x + 1 and y = 113 meet at x = 161012141618202280100120140160x = 16y = 7x + 1y = 113
The lines y = 7x + 1 and y = 113 meet at x = 16. 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=1137x + 1 = 113
  2. 2

    Subtract 1 from both sides:

    7x+1−1=113−1 ⇒ 7x=1127x + 1 - 1 = 113 - 1 \ \Rightarrow\ 7x = 112
  3. 3

    Divide both sides by 7:

    7x7=1127 ⇒ x=16\frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    7⋅16+1=112+1=113✓7\cdot16 + 1 = 112 + 1 = 113 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 1 = 113\ \Rightarrow\ x = 16 \]
\[ 7x + 1 = 113 \]
\[ 7x + 1 - 1 = 113 - 1 \ \Rightarrow\ 7x = 112 \]
\[ \frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16 \]
\[ 7\cdot16 + 1 = 112 + 1 = 113 \checkmark \]

Trying values of x in 7x + 1 = 113

x7x + 1Equals 113?
1499no
15106no
16113yes
17120no
18127no

Questions

What is x in 7x + 1 = 113?

The solution of 7x + 1 = 113 is x = 16.

How do you solve 7x + 1 = 113?

Subtract 1 from both sides to get 7x = 112, then divide both sides by 7 to get x = 16.

How do I check the answer?

Replace x by 16: 7(16) + 1 = 113, which is 113.

Similar equations

    Solve 7x + 1 = 113: x = 16 (steps and check) | WordGPT