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Solve 4x + 10 = 42

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

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The lines y = 4x + 10 and y = 42 meet at x = 82468101214203040506070x = 8y = 4x + 10y = 42
The lines y = 4x + 10 and y = 42 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.

    4x+10=424x + 10 = 42
  2. 2

    Subtract 10 from both sides:

    4x+10−10=42−10 ⇒ 4x=324x + 10 - 10 = 42 - 10 \ \Rightarrow\ 4x = 32
  3. 3

    Divide both sides by 4:

    4x4=324 ⇒ x=8\frac{4x}{4} = \frac{32}{4} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    4⋅8+10=32+10=42✓4\cdot8 + 10 = 32 + 10 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 10 = 42\ \Rightarrow\ x = 8 \]
\[ 4x + 10 = 42 \]
\[ 4x + 10 - 10 = 42 - 10 \ \Rightarrow\ 4x = 32 \]
\[ \frac{4x}{4} = \frac{32}{4} \ \Rightarrow\ x = 8 \]
\[ 4\cdot8 + 10 = 32 + 10 = 42 \checkmark \]

Trying values of x in 4x + 10 = 42

x4x + 10Equals 42?
634no
738no
842yes
946no
1050no

Questions

What is x in 4x + 10 = 42?

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

How do you solve 4x + 10 = 42?

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

How do I check the answer?

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

Similar equations

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