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Solve 8x + 10 = 58

The solution of 8x + 10 = 58 is x = 6.

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The lines y = 8x + 10 and y = 58 meet at x = 62468101220406080100x = 6y = 8x + 10y = 58
The lines y = 8x + 10 and y = 58 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+10=588x + 10 = 58
  2. 2

    Subtract 10 from both sides:

    8x+10−10=58−10 ⇒ 8x=488x + 10 - 10 = 58 - 10 \ \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+10=48+10=58✓8\cdot6 + 10 = 48 + 10 = 58 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 10 = 58\ \Rightarrow\ x = 6 \]
\[ 8x + 10 = 58 \]
\[ 8x + 10 - 10 = 58 - 10 \ \Rightarrow\ 8x = 48 \]
\[ \frac{8x}{8} = \frac{48}{8} \ \Rightarrow\ x = 6 \]
\[ 8\cdot6 + 10 = 48 + 10 = 58 \checkmark \]

Trying values of x in 8x + 10 = 58

x8x + 10Equals 58?
442no
550no
658yes
766no
874no

Questions

What is x in 8x + 10 = 58?

The solution of 8x + 10 = 58 is x = 6.

How do you solve 8x + 10 = 58?

Subtract 10 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) + 10 = 58, which is 58.

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    Solve 8x + 10 = 58: x = 6 (steps and check) | WordGPT