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Solve 8x + 10 = 42

The solution of 8x + 10 = 42 is x = 4.

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The lines y = 8x + 10 and y = 42 meet at x = 4-224681020406080100x = 4y = 8x + 10y = 42
The lines y = 8x + 10 and y = 42 meet at x = 4. 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=428x + 10 = 42
  2. 2

    Subtract 10 from both sides:

    8x+10−10=42−10 ⇒ 8x=328x + 10 - 10 = 42 - 10 \ \Rightarrow\ 8x = 32
  3. 3

    Divide both sides by 8:

    8x8=328 ⇒ x=4\frac{8x}{8} = \frac{32}{8} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    8⋅4+10=32+10=42✓8\cdot4 + 10 = 32 + 10 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 10 = 42\ \Rightarrow\ x = 4 \]
\[ 8x + 10 = 42 \]
\[ 8x + 10 - 10 = 42 - 10 \ \Rightarrow\ 8x = 32 \]
\[ \frac{8x}{8} = \frac{32}{8} \ \Rightarrow\ x = 4 \]
\[ 8\cdot4 + 10 = 32 + 10 = 42 \checkmark \]

Trying values of x in 8x + 10 = 42

x8x + 10Equals 42?
226no
334no
442yes
550no
658no

Questions

What is x in 8x + 10 = 42?

The solution of 8x + 10 = 42 is x = 4.

How do you solve 8x + 10 = 42?

Subtract 10 from both sides to get 8x = 32, then divide both sides by 8 to get x = 4.

How do I check the answer?

Replace x by 4: 8(4) + 10 = 42, which is 42.

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    Solve 8x + 10 = 42: x = 4 (steps and check) | WordGPT