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Solve 6x + 1 = 7

The solution of 6x + 1 = 7 is x = 1.

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The lines y = 6x + 1 and y = 7 meet at x = 1-4-2246-30-20-101020304050x = 1y = 6x + 1y = 7
The lines y = 6x + 1 and y = 7 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.

    6x+1=76x + 1 = 7
  2. 2

    Subtract 1 from both sides:

    6x+1−1=7−1 ⇒ 6x=66x + 1 - 1 = 7 - 1 \ \Rightarrow\ 6x = 6
  3. 3

    Divide both sides by 6:

    6x6=66 ⇒ x=1\frac{6x}{6} = \frac{6}{6} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    6⋅1+1=6+1=7✓6\cdot1 + 1 = 6 + 1 = 7 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 1 = 7\ \Rightarrow\ x = 1 \]
\[ 6x + 1 = 7 \]
\[ 6x + 1 - 1 = 7 - 1 \ \Rightarrow\ 6x = 6 \]
\[ \frac{6x}{6} = \frac{6}{6} \ \Rightarrow\ x = 1 \]
\[ 6\cdot1 + 1 = 6 + 1 = 7 \checkmark \]

Trying values of x in 6x + 1 = 7

x6x + 1Equals 7?
-1-5no
01no
17yes
213no
319no

Questions

What is x in 6x + 1 = 7?

The solution of 6x + 1 = 7 is x = 1.

How do you solve 6x + 1 = 7?

Subtract 1 from both sides to get 6x = 6, then divide both sides by 6 to get x = 1.

How do I check the answer?

Replace x by 1: 6(1) + 1 = 7, which is 7.

Similar equations

    Solve 6x + 1 = 7: x = 1 (steps and check) | WordGPT