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Solve 7x + 1 = 8

The solution of 7x + 1 = 8 is x = 1.

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The lines y = 7x + 1 and y = 8 meet at x = 1-4-2246-40-202040x = 1y = 7x + 1y = 8
The lines y = 7x + 1 and y = 8 meet at x = 1. 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=87x + 1 = 8
  2. 2

    Subtract 1 from both sides:

    7x+1−1=8−1 ⇒ 7x=77x + 1 - 1 = 8 - 1 \ \Rightarrow\ 7x = 7
  3. 3

    Divide both sides by 7:

    7x7=77 ⇒ x=1\frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    7⋅1+1=7+1=8✓7\cdot1 + 1 = 7 + 1 = 8 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 1 = 8\ \Rightarrow\ x = 1 \]
\[ 7x + 1 = 8 \]
\[ 7x + 1 - 1 = 8 - 1 \ \Rightarrow\ 7x = 7 \]
\[ \frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1 \]
\[ 7\cdot1 + 1 = 7 + 1 = 8 \checkmark \]

Trying values of x in 7x + 1 = 8

x7x + 1Equals 8?
-1-6no
01no
18yes
215no
322no

Questions

What is x in 7x + 1 = 8?

The solution of 7x + 1 = 8 is x = 1.

How do you solve 7x + 1 = 8?

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

How do I check the answer?

Replace x by 1: 7(1) + 1 = 8, which is 8.

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    Solve 7x + 1 = 8: x = 1 (steps and check) | WordGPT