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Solve 8x + 10 = 26

The solution of 8x + 10 = 26 is x = 2.

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The lines y = 8x + 10 and y = 26 meet at x = 2-4-22468-2020406080x = 2y = 8x + 10y = 26
The lines y = 8x + 10 and y = 26 meet at x = 2. 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=268x + 10 = 26
  2. 2

    Subtract 10 from both sides:

    8x+10−10=26−10 ⇒ 8x=168x + 10 - 10 = 26 - 10 \ \Rightarrow\ 8x = 16
  3. 3

    Divide both sides by 8:

    8x8=168 ⇒ x=2\frac{8x}{8} = \frac{16}{8} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    8⋅2+10=16+10=26✓8\cdot2 + 10 = 16 + 10 = 26 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 10 = 26\ \Rightarrow\ x = 2 \]
\[ 8x + 10 = 26 \]
\[ 8x + 10 - 10 = 26 - 10 \ \Rightarrow\ 8x = 16 \]
\[ \frac{8x}{8} = \frac{16}{8} \ \Rightarrow\ x = 2 \]
\[ 8\cdot2 + 10 = 16 + 10 = 26 \checkmark \]

Trying values of x in 8x + 10 = 26

x8x + 10Equals 26?
010no
118no
226yes
334no
442no

Questions

What is x in 8x + 10 = 26?

The solution of 8x + 10 = 26 is x = 2.

How do you solve 8x + 10 = 26?

Subtract 10 from both sides to get 8x = 16, then divide both sides by 8 to get x = 2.

How do I check the answer?

Replace x by 2: 8(2) + 10 = 26, which is 26.

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