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Solve 7x + 1 = 43

The solution of 7x + 1 = 43 is x = 6.

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The lines y = 7x + 1 and y = 43 meet at x = 62468101220406080x = 6y = 7x + 1y = 43
The lines y = 7x + 1 and y = 43 meet at x = 6. 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=437x + 1 = 43
  2. 2

    Subtract 1 from both sides:

    7x+1−1=43−1 ⇒ 7x=427x + 1 - 1 = 43 - 1 \ \Rightarrow\ 7x = 42
  3. 3

    Divide both sides by 7:

    7x7=427 ⇒ x=6\frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    7⋅6+1=42+1=43✓7\cdot6 + 1 = 42 + 1 = 43 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 1 = 43\ \Rightarrow\ x = 6 \]
\[ 7x + 1 = 43 \]
\[ 7x + 1 - 1 = 43 - 1 \ \Rightarrow\ 7x = 42 \]
\[ \frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6 \]
\[ 7\cdot6 + 1 = 42 + 1 = 43 \checkmark \]

Trying values of x in 7x + 1 = 43

x7x + 1Equals 43?
429no
536no
643yes
750no
857no

Questions

What is x in 7x + 1 = 43?

The solution of 7x + 1 = 43 is x = 6.

How do you solve 7x + 1 = 43?

Subtract 1 from both sides to get 7x = 42, then divide both sides by 7 to get x = 6.

How do I check the answer?

Replace x by 6: 7(6) + 1 = 43, which is 43.

Similar equations

    Solve 7x + 1 = 43: x = 6 (steps and check) | WordGPT