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Solve 8x + 2 = 58

The solution of 8x + 2 = 58 is x = 7.

The lines y = 8x + 2 and y = 58 meet at x = 72468101220406080100x = 7y = 8x + 2y = 58
The lines y = 8x + 2 and y = 58 meet at x = 7. 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+2=588x + 2 = 58
  2. 2

    Subtract 2 from both sides:

    8x+2−2=58−2 ⇒ 8x=568x + 2 - 2 = 58 - 2 \ \Rightarrow\ 8x = 56
  3. 3

    Divide both sides by 8:

    8x8=568 ⇒ x=7\frac{8x}{8} = \frac{56}{8} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    8⋅7+2=56+2=58✓8\cdot7 + 2 = 56 + 2 = 58 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 2 = 58\ \Rightarrow\ x = 7 \]
\[ 8x + 2 = 58 \]
\[ 8x + 2 - 2 = 58 - 2 \ \Rightarrow\ 8x = 56 \]
\[ \frac{8x}{8} = \frac{56}{8} \ \Rightarrow\ x = 7 \]
\[ 8\cdot7 + 2 = 56 + 2 = 58 \checkmark \]

Trying values of x in 8x + 2 = 58

x8x + 2Equals 58?
542no
650no
758yes
866no
974no

Questions

What is x in 8x + 2 = 58?

The solution of 8x + 2 = 58 is x = 7.

How do you solve 8x + 2 = 58?

Subtract 2 from both sides to get 8x = 56, then divide both sides by 8 to get x = 7.

How do I check the answer?

Replace x by 7: 8(7) + 2 = 58, which is 58.

Similar equations

    Solve 8x + 2 = 58: x = 7 (steps and check) | WordGPT