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Solve 5x + 1 = 6

The solution of 5x + 1 = 6 is x = 1.

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The lines y = 5x + 1 and y = 6 meet at x = 1-4-2246-30-20-1010203040x = 1y = 5x + 1y = 6
The lines y = 5x + 1 and y = 6 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.

    5x+1=65x + 1 = 6
  2. 2

    Subtract 1 from both sides:

    5x+1−1=6−1 ⇒ 5x=55x + 1 - 1 = 6 - 1 \ \Rightarrow\ 5x = 5
  3. 3

    Divide both sides by 5:

    5x5=55 ⇒ x=1\frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    5⋅1+1=5+1=6✓5\cdot1 + 1 = 5 + 1 = 6 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 1 = 6\ \Rightarrow\ x = 1 \]
\[ 5x + 1 = 6 \]
\[ 5x + 1 - 1 = 6 - 1 \ \Rightarrow\ 5x = 5 \]
\[ \frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1 \]
\[ 5\cdot1 + 1 = 5 + 1 = 6 \checkmark \]

Trying values of x in 5x + 1 = 6

x5x + 1Equals 6?
-1-4no
01no
16yes
211no
316no

Questions

What is x in 5x + 1 = 6?

The solution of 5x + 1 = 6 is x = 1.

How do you solve 5x + 1 = 6?

Subtract 1 from both sides to get 5x = 5, then divide both sides by 5 to get x = 1.

How do I check the answer?

Replace x by 1: 5(1) + 1 = 6, which is 6.

Similar equations

    Solve 5x + 1 = 6: x = 1 (steps and check) | WordGPT