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Solve 8x + 10 = 74

The solution of 8x + 10 = 74 is x = 8.

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The lines y = 8x + 10 and y = 74 meet at x = 8246810121420406080100120x = 8y = 8x + 10y = 74
The lines y = 8x + 10 and y = 74 meet at x = 8. 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=748x + 10 = 74
  2. 2

    Subtract 10 from both sides:

    8x+10−10=74−10 ⇒ 8x=648x + 10 - 10 = 74 - 10 \ \Rightarrow\ 8x = 64
  3. 3

    Divide both sides by 8:

    8x8=648 ⇒ x=8\frac{8x}{8} = \frac{64}{8} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    8⋅8+10=64+10=74✓8\cdot8 + 10 = 64 + 10 = 74 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 10 = 74\ \Rightarrow\ x = 8 \]
\[ 8x + 10 = 74 \]
\[ 8x + 10 - 10 = 74 - 10 \ \Rightarrow\ 8x = 64 \]
\[ \frac{8x}{8} = \frac{64}{8} \ \Rightarrow\ x = 8 \]
\[ 8\cdot8 + 10 = 64 + 10 = 74 \checkmark \]

Trying values of x in 8x + 10 = 74

x8x + 10Equals 74?
658no
766no
874yes
982no
1090no

Questions

What is x in 8x + 10 = 74?

The solution of 8x + 10 = 74 is x = 8.

How do you solve 8x + 10 = 74?

Subtract 10 from both sides to get 8x = 64, then divide both sides by 8 to get x = 8.

How do I check the answer?

Replace x by 8: 8(8) + 10 = 74, which is 74.

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    Solve 8x + 10 = 74: x = 8 (steps and check) | WordGPT