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Solve 8x + 1 = 49

The solution of 8x + 1 = 49 is x = 6.

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The lines y = 8x + 1 and y = 49 meet at x = 62468101220406080100x = 6y = 8x + 1y = 49
The lines y = 8x + 1 and y = 49 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.

    8x+1=498x + 1 = 49
  2. 2

    Subtract 1 from both sides:

    8x+1−1=49−1 ⇒ 8x=488x + 1 - 1 = 49 - 1 \ \Rightarrow\ 8x = 48
  3. 3

    Divide both sides by 8:

    8x8=488 ⇒ x=6\frac{8x}{8} = \frac{48}{8} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    8⋅6+1=48+1=49✓8\cdot6 + 1 = 48 + 1 = 49 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 1 = 49\ \Rightarrow\ x = 6 \]
\[ 8x + 1 = 49 \]
\[ 8x + 1 - 1 = 49 - 1 \ \Rightarrow\ 8x = 48 \]
\[ \frac{8x}{8} = \frac{48}{8} \ \Rightarrow\ x = 6 \]
\[ 8\cdot6 + 1 = 48 + 1 = 49 \checkmark \]

Trying values of x in 8x + 1 = 49

x8x + 1Equals 49?
433no
541no
649yes
757no
865no

Questions

What is x in 8x + 1 = 49?

The solution of 8x + 1 = 49 is x = 6.

How do you solve 8x + 1 = 49?

Subtract 1 from both sides to get 8x = 48, then divide both sides by 8 to get x = 6.

How do I check the answer?

Replace x by 6: 8(6) + 1 = 49, which is 49.

Similar equations

    Solve 8x + 1 = 49: x = 6 (steps and check) | WordGPT